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Finding the Fourth Proportional to 738.76, 1,107.68 and 494.86

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Solution

The fourth proportional to 738.76, 1,107.68 and 494.86 is: 741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.76 : 1,107.68 = 494.86 : x
  2. Step 2: Convert to fraction form
    738.76/1,107.68 = 494.86/x
  3. Step 3: Cross multiply
    738.76x = 1,107.68 × 494.86
  4. Step 4: Simplify right side
    738.76x = 548,146.52
  5. Step 5: Solve for x
    x = 548,146.52/738.76
  6. Step 6: Final answer
    x = 741.98

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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.