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Finding the Fourth Proportional to 658.51, 984.86 and 585.90

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Solution

The fourth proportional to 658.51, 984.86 and 585.90 is: 876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.51 : 984.86 = 585.90 : x
  2. Step 2: Convert to fraction form
    658.51/984.86 = 585.90/x
  3. Step 3: Cross multiply
    658.51x = 984.86 × 585.90
  4. Step 4: Simplify right side
    658.51x = 577,022.85
  5. Step 5: Solve for x
    x = 577,022.85/658.51
  6. Step 6: Final answer
    x = 876.26

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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.