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Finding the Fourth Proportional to 1,113.91, 1,537.92 and 715.75

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Solution

The fourth proportional to 1,113.91, 1,537.92 and 715.75 is: 988.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.91 : 1,537.92 = 715.75 : x
  2. Step 2: Convert to fraction form
    1,113.91/1,537.92 = 715.75/x
  3. Step 3: Cross multiply
    1,113.91x = 1,537.92 × 715.75
  4. Step 4: Simplify right side
    1,113.91x = 1,100,765.48
  5. Step 5: Solve for x
    x = 1,100,765.48/1,113.91
  6. Step 6: Final answer
    x = 988.20

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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.