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Finding the Fourth Proportional to 930.80, 1,284.50 and 537.82

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Solution

The fourth proportional to 930.80, 1,284.50 and 537.82 is: 742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.80 : 1,284.50 = 537.82 : x
  2. Step 2: Convert to fraction form
    930.80/1,284.50 = 537.82/x
  3. Step 3: Cross multiply
    930.80x = 1,284.50 × 537.82
  4. Step 4: Simplify right side
    930.80x = 690,827.92
  5. Step 5: Solve for x
    x = 690,827.92/930.80
  6. Step 6: Final answer
    x = 742.19

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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.