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Finding the Fourth Proportional to 1,060.15, 1,462.89 and 588.04

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Solution

The fourth proportional to 1,060.15, 1,462.89 and 588.04 is: 811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.15 : 1,462.89 = 588.04 : x
  2. Step 2: Convert to fraction form
    1,060.15/1,462.89 = 588.04/x
  3. Step 3: Cross multiply
    1,060.15x = 1,462.89 × 588.04
  4. Step 4: Simplify right side
    1,060.15x = 860,230.52
  5. Step 5: Solve for x
    x = 860,230.52/1,060.15
  6. Step 6: Final answer
    x = 811.42

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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.