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Finding the Fourth Proportional to 931.09, 1,285.05 and 538.24

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Solution

The fourth proportional to 931.09, 1,285.05 and 538.24 is: 742.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.09 : 1,285.05 = 538.24 : x
  2. Step 2: Convert to fraction form
    931.09/1,285.05 = 538.24/x
  3. Step 3: Cross multiply
    931.09x = 1,285.05 × 538.24
  4. Step 4: Simplify right side
    931.09x = 691,665.31
  5. Step 5: Solve for x
    x = 691,665.31/931.09
  6. Step 6: Final answer
    x = 742.86

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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.