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Finding the Fourth Proportional to 1,403.81, 1,937.17 and 814.24

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Solution

The fourth proportional to 1,403.81, 1,937.17 and 814.24 is: 1,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.81 : 1,937.17 = 814.24 : x
  2. Step 2: Convert to fraction form
    1,403.81/1,937.17 = 814.24/x
  3. Step 3: Cross multiply
    1,403.81x = 1,937.17 × 814.24
  4. Step 4: Simplify right side
    1,403.81x = 1,577,321.30
  5. Step 5: Solve for x
    x = 1,577,321.30/1,403.81
  6. Step 6: Final answer
    x = 1,123.60

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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.