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Finding the Fourth Proportional to 1,129.32, 1,560.59 and 815.55

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Solution

The fourth proportional to 1,129.32, 1,560.59 and 815.55 is: 1,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.32 : 1,560.59 = 815.55 : x
  2. Step 2: Convert to fraction form
    1,129.32/1,560.59 = 815.55/x
  3. Step 3: Cross multiply
    1,129.32x = 1,560.59 × 815.55
  4. Step 4: Simplify right side
    1,129.32x = 1,272,732.30
  5. Step 5: Solve for x
    x = 1,272,732.30/1,129.32
  6. Step 6: Final answer
    x = 1,126.99

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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.