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Finding the Fourth Proportional to 677.62, 1,017.24 and 416.86

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Solution

The fourth proportional to 677.62, 1,017.24 and 416.86 is: 625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.62 : 1,017.24 = 416.86 : x
  2. Step 2: Convert to fraction form
    677.62/1,017.24 = 416.86/x
  3. Step 3: Cross multiply
    677.62x = 1,017.24 × 416.86
  4. Step 4: Simplify right side
    677.62x = 424,046.67
  5. Step 5: Solve for x
    x = 424,046.67/677.62
  6. Step 6: Final answer
    x = 625.79

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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.