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Finding the Fourth Proportional to 1,132.27, 1,562.96 and 712.76

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Solution

The fourth proportional to 1,132.27, 1,562.96 and 712.76 is: 983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.27 : 1,562.96 = 712.76 : x
  2. Step 2: Convert to fraction form
    1,132.27/1,562.96 = 712.76/x
  3. Step 3: Cross multiply
    1,132.27x = 1,562.96 × 712.76
  4. Step 4: Simplify right side
    1,132.27x = 1,114,009.34
  5. Step 5: Solve for x
    x = 1,114,009.34/1,132.27
  6. Step 6: Final answer
    x = 983.87

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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.