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Finding the Fourth Proportional to 930.90, 1,284.54 and 537.86

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Solution

The fourth proportional to 930.90, 1,284.54 and 537.86 is: 742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.90 : 1,284.54 = 537.86 : x
  2. Step 2: Convert to fraction form
    930.90/1,284.54 = 537.86/x
  3. Step 3: Cross multiply
    930.90x = 1,284.54 × 537.86
  4. Step 4: Simplify right side
    930.90x = 690,902.68
  5. Step 5: Solve for x
    x = 690,902.68/930.90
  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.