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Finding the Fourth Proportional to 709.88, 1,061.88 and 642.38

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Solution

The fourth proportional to 709.88, 1,061.88 and 642.38 is: 960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.88 : 1,061.88 = 642.38 : x
  2. Step 2: Convert to fraction form
    709.88/1,061.88 = 642.38/x
  3. Step 3: Cross multiply
    709.88x = 1,061.88 × 642.38
  4. Step 4: Simplify right side
    709.88x = 682,130.47
  5. Step 5: Solve for x
    x = 682,130.47/709.88
  6. Step 6: Final answer
    x = 960.91

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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.