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Finding the Fourth Proportional to 709.69, 1,064.25 and 417.78

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Solution

The fourth proportional to 709.69, 1,064.25 and 417.78 is: 626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.69 : 1,064.25 = 417.78 : x
  2. Step 2: Convert to fraction form
    709.69/1,064.25 = 417.78/x
  3. Step 3: Cross multiply
    709.69x = 1,064.25 × 417.78
  4. Step 4: Simplify right side
    709.69x = 444,626.07
  5. Step 5: Solve for x
    x = 444,626.07/709.69
  6. Step 6: Final answer
    x = 626.51

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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.