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Finding the Fourth Proportional to 677.34, 1,016.31 and 417.73

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Solution

The fourth proportional to 677.34, 1,016.31 and 417.73 is: 626.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.34 : 1,016.31 = 417.73 : x
  2. Step 2: Convert to fraction form
    677.34/1,016.31 = 417.73/x
  3. Step 3: Cross multiply
    677.34x = 1,016.31 × 417.73
  4. Step 4: Simplify right side
    677.34x = 424,543.18
  5. Step 5: Solve for x
    x = 424,543.18/677.34
  6. Step 6: Final answer
    x = 626.78

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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.