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Finding the Fourth Proportional to 930.44, 1,284.24 and 537.71

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Solution

The fourth proportional to 930.44, 1,284.24 and 537.71 is: 742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.44 : 1,284.24 = 537.71 : x
  2. Step 2: Convert to fraction form
    930.44/1,284.24 = 537.71/x
  3. Step 3: Cross multiply
    930.44x = 1,284.24 × 537.71
  4. Step 4: Simplify right side
    930.44x = 690,548.69
  5. Step 5: Solve for x
    x = 690,548.69/930.44
  6. Step 6: Final answer
    x = 742.17

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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.