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Finding the Fourth Proportional to 741.48, 1,109.46 and 449.10

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Solution

The fourth proportional to 741.48, 1,109.46 and 449.10 is: 671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.48 : 1,109.46 = 449.10 : x
  2. Step 2: Convert to fraction form
    741.48/1,109.46 = 449.10/x
  3. Step 3: Cross multiply
    741.48x = 1,109.46 × 449.10
  4. Step 4: Simplify right side
    741.48x = 498,258.49
  5. Step 5: Solve for x
    x = 498,258.49/741.48
  6. Step 6: Final answer
    x = 671.98

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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.