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Finding the Fourth Proportional to 678.91, 1,017.96 and 461.83

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Solution

The fourth proportional to 678.91, 1,017.96 and 461.83 is: 692.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.91 : 1,017.96 = 461.83 : x
  2. Step 2: Convert to fraction form
    678.91/1,017.96 = 461.83/x
  3. Step 3: Cross multiply
    678.91x = 1,017.96 × 461.83
  4. Step 4: Simplify right side
    678.91x = 470,124.47
  5. Step 5: Solve for x
    x = 470,124.47/678.91
  6. Step 6: Final answer
    x = 692.47

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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.