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Finding the Fourth Proportional to 723.58, 1,084.96 and 492.78

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Solution

The fourth proportional to 723.58, 1,084.96 and 492.78 is: 738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.58 : 1,084.96 = 492.78 : x
  2. Step 2: Convert to fraction form
    723.58/1,084.96 = 492.78/x
  3. Step 3: Cross multiply
    723.58x = 1,084.96 × 492.78
  4. Step 4: Simplify right side
    723.58x = 534,646.59
  5. Step 5: Solve for x
    x = 534,646.59/723.58
  6. Step 6: Final answer
    x = 738.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.