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Finding the Fourth Proportional to 1,403.87, 1,937.16 and 814.32

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Solution

The fourth proportional to 1,403.87, 1,937.16 and 814.32 is: 1,123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.87 : 1,937.16 = 814.32 : x
  2. Step 2: Convert to fraction form
    1,403.87/1,937.16 = 814.32/x
  3. Step 3: Cross multiply
    1,403.87x = 1,937.16 × 814.32
  4. Step 4: Simplify right side
    1,403.87x = 1,577,468.13
  5. Step 5: Solve for x
    x = 1,577,468.13/1,403.87
  6. Step 6: Final answer
    x = 1,123.66

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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.