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Finding the Fourth Proportional to 1,403.74, 1,937.19 and 814.33

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Solution

The fourth proportional to 1,403.74, 1,937.19 and 814.33 is: 1,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.74 : 1,937.19 = 814.33 : x
  2. Step 2: Convert to fraction form
    1,403.74/1,937.19 = 814.33/x
  3. Step 3: Cross multiply
    1,403.74x = 1,937.19 × 814.33
  4. Step 4: Simplify right side
    1,403.74x = 1,577,511.93
  5. Step 5: Solve for x
    x = 1,577,511.93/1,403.74
  6. Step 6: Final answer
    x = 1,123.79

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