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Finding the Fourth Proportional to 738.12, 1,103.07 and 492.60

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Solution

The fourth proportional to 738.12, 1,103.07 and 492.60 is: 736.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.12 : 1,103.07 = 492.60 : x
  2. Step 2: Convert to fraction form
    738.12/1,103.07 = 492.60/x
  3. Step 3: Cross multiply
    738.12x = 1,103.07 × 492.60
  4. Step 4: Simplify right side
    738.12x = 543,372.28
  5. Step 5: Solve for x
    x = 543,372.28/738.12
  6. Step 6: Final answer
    x = 736.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.