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Finding the Fourth Proportional to 741.02, 1,016.65 and 721.85

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Solution

The fourth proportional to 741.02, 1,016.65 and 721.85 is: 990.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.02 : 1,016.65 = 721.85 : x
  2. Step 2: Convert to fraction form
    741.02/1,016.65 = 721.85/x
  3. Step 3: Cross multiply
    741.02x = 1,016.65 × 721.85
  4. Step 4: Simplify right side
    741.02x = 733,868.80
  5. Step 5: Solve for x
    x = 733,868.80/741.02
  6. Step 6: Final answer
    x = 990.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.