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Finding the Fourth Proportional to 658.56, 983.04 and 596.88

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Solution

The fourth proportional to 658.56, 983.04 and 596.88 is: 890.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.56 : 983.04 = 596.88 : x
  2. Step 2: Convert to fraction form
    658.56/983.04 = 596.88/x
  3. Step 3: Cross multiply
    658.56x = 983.04 × 596.88
  4. Step 4: Simplify right side
    658.56x = 586,756.92
  5. Step 5: Solve for x
    x = 586,756.92/658.56
  6. Step 6: Final answer
    x = 890.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.