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Finding the Fourth Proportional to 864.92, 1,297.02 and 345.17

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Solution

The fourth proportional to 864.92, 1,297.02 and 345.17 is: 517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.92 : 1,297.02 = 345.17 : x
  2. Step 2: Convert to fraction form
    864.92/1,297.02 = 345.17/x
  3. Step 3: Cross multiply
    864.92x = 1,297.02 × 345.17
  4. Step 4: Simplify right side
    864.92x = 447,692.39
  5. Step 5: Solve for x
    x = 447,692.39/864.92
  6. Step 6: Final answer
    x = 517.61

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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.