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Finding the Fourth Proportional to 1,158.47, 1,738.31 and 610.70

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Solution

The fourth proportional to 1,158.47, 1,738.31 and 610.70 is: 916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.47 : 1,738.31 = 610.70 : x
  2. Step 2: Convert to fraction form
    1,158.47/1,738.31 = 610.70/x
  3. Step 3: Cross multiply
    1,158.47x = 1,738.31 × 610.70
  4. Step 4: Simplify right side
    1,158.47x = 1,061,585.92
  5. Step 5: Solve for x
    x = 1,061,585.92/1,158.47
  6. Step 6: Final answer
    x = 916.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.