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Finding the Fourth Proportional to 1,060.40, 1,463.43 and 588.29

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Solution

The fourth proportional to 1,060.40, 1,463.43 and 588.29 is: 811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.40 : 1,463.43 = 588.29 : x
  2. Step 2: Convert to fraction form
    1,060.40/1,463.43 = 588.29/x
  3. Step 3: Cross multiply
    1,060.40x = 1,463.43 × 588.29
  4. Step 4: Simplify right side
    1,060.40x = 860,921.05
  5. Step 5: Solve for x
    x = 860,921.05/1,060.40
  6. Step 6: Final answer
    x = 811.88

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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.