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Finding the Fourth Proportional to 864.25, 1,298.19 and 658.10

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Solution

The fourth proportional to 864.25, 1,298.19 and 658.10 is: 988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.25 : 1,298.19 = 658.10 : x
  2. Step 2: Convert to fraction form
    864.25/1,298.19 = 658.10/x
  3. Step 3: Cross multiply
    864.25x = 1,298.19 × 658.10
  4. Step 4: Simplify right side
    864.25x = 854,338.84
  5. Step 5: Solve for x
    x = 854,338.84/864.25
  6. Step 6: Final answer
    x = 988.53

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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.