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Finding the Fourth Proportional to 814.76, 1,124.51 and 460.86

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Solution

The fourth proportional to 814.76, 1,124.51 and 460.86 is: 636.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.76 : 1,124.51 = 460.86 : x
  2. Step 2: Convert to fraction form
    814.76/1,124.51 = 460.86/x
  3. Step 3: Cross multiply
    814.76x = 1,124.51 × 460.86
  4. Step 4: Simplify right side
    814.76x = 518,239.37
  5. Step 5: Solve for x
    x = 518,239.37/814.76
  6. Step 6: Final answer
    x = 636.07

Related Problems

Find fourth proportional to 407.38, 562.25 and 230.43
Half scale
Find fourth proportional to 1,629.51, 2,249.01 and 921.72
Double scale
Find fourth proportional to 815.76, 1,125.89 and 461.86
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.