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Finding the Fourth Proportional to 950, 1,310.87 and 530.31

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Solution

The fourth proportional to 950, 1,310.87 and 530.31 is: 731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    950 : 1,310.87 = 530.31 : x
  2. Step 2: Convert to fraction form
    950/1,310.87 = 530.31/x
  3. Step 3: Cross multiply
    950x = 1,310.87 × 530.31
  4. Step 4: Simplify right side
    950x = 695,167.47
  5. Step 5: Solve for x
    x = 695,167.47/950
  6. Step 6: Final answer
    x = 731.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.