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Finding the Fourth Proportional to 736.76, 1,104.68 and 492.86

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Solution

The fourth proportional to 736.76, 1,104.68 and 492.86 is: 738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.76 : 1,104.68 = 492.86 : x
  2. Step 2: Convert to fraction form
    736.76/1,104.68 = 492.86/x
  3. Step 3: Cross multiply
    736.76x = 1,104.68 × 492.86
  4. Step 4: Simplify right side
    736.76x = 544,452.58
  5. Step 5: Solve for x
    x = 544,452.58/736.76
  6. Step 6: Final answer
    x = 738.98

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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.