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Finding the Fourth Proportional to 1,115.46, 1,538.54 and 742.25

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Solution

The fourth proportional to 1,115.46, 1,538.54 and 742.25 is: 1,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.46 : 1,538.54 = 742.25 : x
  2. Step 2: Convert to fraction form
    1,115.46/1,538.54 = 742.25/x
  3. Step 3: Cross multiply
    1,115.46x = 1,538.54 × 742.25
  4. Step 4: Simplify right side
    1,115.46x = 1,141,969.91
  5. Step 5: Solve for x
    x = 1,141,969.91/1,115.46
  6. Step 6: Final answer
    x = 1,023.77

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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.