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Finding the Fourth Proportional to 658.08, 988.07 and 585.18

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Solution

The fourth proportional to 658.08, 988.07 and 585.18 is: 878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.08 : 988.07 = 585.18 : x
  2. Step 2: Convert to fraction form
    658.08/988.07 = 585.18/x
  3. Step 3: Cross multiply
    658.08x = 988.07 × 585.18
  4. Step 4: Simplify right side
    658.08x = 578,195.88
  5. Step 5: Solve for x
    x = 578,195.88/658.08
  6. Step 6: Final answer
    x = 878.61

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Why These Related Problems?

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