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Finding the Fourth Proportional to 672.68, 1,011.06 and 658.32

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Solution

The fourth proportional to 672.68, 1,011.06 and 658.32 is: 989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.68 : 1,011.06 = 658.32 : x
  2. Step 2: Convert to fraction form
    672.68/1,011.06 = 658.32/x
  3. Step 3: Cross multiply
    672.68x = 1,011.06 × 658.32
  4. Step 4: Simplify right side
    672.68x = 665,601.02
  5. Step 5: Solve for x
    x = 665,601.02/672.68
  6. Step 6: Final answer
    x = 989.48

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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.