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Finding the Fourth Proportional to 658.68, 982.18 and 632.71

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Solution

The fourth proportional to 658.68, 982.18 and 632.71 is: 943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.68 : 982.18 = 632.71 : x
  2. Step 2: Convert to fraction form
    658.68/982.18 = 632.71/x
  3. Step 3: Cross multiply
    658.68x = 982.18 × 632.71
  4. Step 4: Simplify right side
    658.68x = 621,433.57
  5. Step 5: Solve for x
    x = 621,433.57/658.68
  6. Step 6: Final answer
    x = 943.45

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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.