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Finding the Fourth Proportional to 1,060.34, 1,591.02 and 649.25

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Solution

The fourth proportional to 1,060.34, 1,591.02 and 649.25 is: 974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.34 : 1,591.02 = 649.25 : x
  2. Step 2: Convert to fraction form
    1,060.34/1,591.02 = 649.25/x
  3. Step 3: Cross multiply
    1,060.34x = 1,591.02 × 649.25
  4. Step 4: Simplify right side
    1,060.34x = 1,032,961.78
  5. Step 5: Solve for x
    x = 1,032,961.78/1,060.34
  6. Step 6: Final answer
    x = 974.18

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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.