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Finding the Fourth Proportional to 678.47, 1,017.17 and 411.12

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Solution

The fourth proportional to 678.47, 1,017.17 and 411.12 is: 616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.47 : 1,017.17 = 411.12 : x
  2. Step 2: Convert to fraction form
    678.47/1,017.17 = 411.12/x
  3. Step 3: Cross multiply
    678.47x = 1,017.17 × 411.12
  4. Step 4: Simplify right side
    678.47x = 418,178.93
  5. Step 5: Solve for x
    x = 418,178.93/678.47
  6. Step 6: Final answer
    x = 616.36

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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.