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Finding the Fourth Proportional to 709.24, 1,062.75 and 645.22

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Solution

The fourth proportional to 709.24, 1,062.75 and 645.22 is: 966.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.24 : 1,062.75 = 645.22 : x
  2. Step 2: Convert to fraction form
    709.24/1,062.75 = 645.22/x
  3. Step 3: Cross multiply
    709.24x = 1,062.75 × 645.22
  4. Step 4: Simplify right side
    709.24x = 685,706.61
  5. Step 5: Solve for x
    x = 685,706.61/709.24
  6. Step 6: Final answer
    x = 966.82

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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.