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Finding the Fourth Proportional to 930.86, 1,284.62 and 537.88

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Solution

The fourth proportional to 930.86, 1,284.62 and 537.88 is: 742.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.86 : 1,284.62 = 537.88 : x
  2. Step 2: Convert to fraction form
    930.86/1,284.62 = 537.88/x
  3. Step 3: Cross multiply
    930.86x = 1,284.62 × 537.88
  4. Step 4: Simplify right side
    930.86x = 690,971.41
  5. Step 5: Solve for x
    x = 690,971.41/930.86
  6. Step 6: Final answer
    x = 742.29

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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.