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Finding the Fourth Proportional to 931.32, 1,285.13 and 538.27

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Solution

The fourth proportional to 931.32, 1,285.13 and 538.27 is: 742.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.32 : 1,285.13 = 538.27 : x
  2. Step 2: Convert to fraction form
    931.32/1,285.13 = 538.27/x
  3. Step 3: Cross multiply
    931.32x = 1,285.13 × 538.27
  4. Step 4: Simplify right side
    931.32x = 691,745.06
  5. Step 5: Solve for x
    x = 691,745.06/931.32
  6. Step 6: Final answer
    x = 742.76

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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.