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Finding the Fourth Proportional to 709.73, 1,064.77 and 417.42

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Solution

The fourth proportional to 709.73, 1,064.77 and 417.42 is: 626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.73 : 1,064.77 = 417.42 : x
  2. Step 2: Convert to fraction form
    709.73/1,064.77 = 417.42/x
  3. Step 3: Cross multiply
    709.73x = 1,064.77 × 417.42
  4. Step 4: Simplify right side
    709.73x = 444,456.29
  5. Step 5: Solve for x
    x = 444,456.29/709.73
  6. Step 6: Final answer
    x = 626.23

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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.