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Finding the Fourth Proportional to 1,131.40, 1,562.24 and 758.70

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Solution

The fourth proportional to 1,131.40, 1,562.24 and 758.70 is: 1,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.40 : 1,562.24 = 758.70 : x
  2. Step 2: Convert to fraction form
    1,131.40/1,562.24 = 758.70/x
  3. Step 3: Cross multiply
    1,131.40x = 1,562.24 × 758.70
  4. Step 4: Simplify right side
    1,131.40x = 1,185,269.12
  5. Step 5: Solve for x
    x = 1,185,269.12/1,131.40
  6. Step 6: Final answer
    x = 1,047.61

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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.