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Finding the Fourth Proportional to 814.74, 1,124.37 and 465.54

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Solution

The fourth proportional to 814.74, 1,124.37 and 465.54 is: 642.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.74 : 1,124.37 = 465.54 : x
  2. Step 2: Convert to fraction form
    814.74/1,124.37 = 465.54/x
  3. Step 3: Cross multiply
    814.74x = 1,124.37 × 465.54
  4. Step 4: Simplify right side
    814.74x = 523,439.21
  5. Step 5: Solve for x
    x = 523,439.21/814.74
  6. Step 6: Final answer
    x = 642.46

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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.