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Finding the Fourth Proportional to 814.68, 1,124.34 and 535.14

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Solution

The fourth proportional to 814.68, 1,124.34 and 535.14 is: 738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.68 : 1,124.34 = 535.14 : x
  2. Step 2: Convert to fraction form
    814.68/1,124.34 = 535.14/x
  3. Step 3: Cross multiply
    814.68x = 1,124.34 × 535.14
  4. Step 4: Simplify right side
    814.68x = 601,679.31
  5. Step 5: Solve for x
    x = 601,679.31/814.68
  6. Step 6: Final answer
    x = 738.55

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Double scale
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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.