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Finding the Fourth Proportional to 1,060.70, 1,463.76 and 588.66

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Solution

The fourth proportional to 1,060.70, 1,463.76 and 588.66 is: 812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.70 : 1,463.76 = 588.66 : x
  2. Step 2: Convert to fraction form
    1,060.70/1,463.76 = 588.66/x
  3. Step 3: Cross multiply
    1,060.70x = 1,463.76 × 588.66
  4. Step 4: Simplify right side
    1,060.70x = 861,654.02
  5. Step 5: Solve for x
    x = 861,654.02/1,060.70
  6. Step 6: Final answer
    x = 812.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.