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Finding the Fourth Proportional to 931.94, 1,285.85 and 538.97

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Solution

The fourth proportional to 931.94, 1,285.85 and 538.97 is: 743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.94 : 1,285.85 = 538.97 : x
  2. Step 2: Convert to fraction form
    931.94/1,285.85 = 538.97/x
  3. Step 3: Cross multiply
    931.94x = 1,285.85 × 538.97
  4. Step 4: Simplify right side
    931.94x = 693,034.57
  5. Step 5: Solve for x
    x = 693,034.57/931.94
  6. Step 6: Final answer
    x = 743.65

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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.