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Finding the Fourth Proportional to 1,115.37, 1,539.72 and 742.95

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Solution

The fourth proportional to 1,115.37, 1,539.72 and 742.95 is: 1,025.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.37 : 1,539.72 = 742.95 : x
  2. Step 2: Convert to fraction form
    1,115.37/1,539.72 = 742.95/x
  3. Step 3: Cross multiply
    1,115.37x = 1,539.72 × 742.95
  4. Step 4: Simplify right side
    1,115.37x = 1,143,934.97
  5. Step 5: Solve for x
    x = 1,143,934.97/1,115.37
  6. Step 6: Final answer
    x = 1,025.61

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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.