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Finding the Fourth Proportional to 952.68, 1,314.82 and 538.76

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Solution

The fourth proportional to 952.68, 1,314.82 and 538.76 is: 743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.68 : 1,314.82 = 538.76 : x
  2. Step 2: Convert to fraction form
    952.68/1,314.82 = 538.76/x
  3. Step 3: Cross multiply
    952.68x = 1,314.82 × 538.76
  4. Step 4: Simplify right side
    952.68x = 708,372.42
  5. Step 5: Solve for x
    x = 708,372.42/952.68
  6. Step 6: Final answer
    x = 743.56

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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.