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Finding the Fourth Proportional to 1,310.72, 1,966.14 and 531.09

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Solution

The fourth proportional to 1,310.72, 1,966.14 and 531.09 is: 796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.72 : 1,966.14 = 531.09 : x
  2. Step 2: Convert to fraction form
    1,310.72/1,966.14 = 531.09/x
  3. Step 3: Cross multiply
    1,310.72x = 1,966.14 × 531.09
  4. Step 4: Simplify right side
    1,310.72x = 1,044,197.29
  5. Step 5: Solve for x
    x = 1,044,197.29/1,310.72
  6. Step 6: Final answer
    x = 796.66

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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.