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Finding the Fourth Proportional to 728.21, 1,003.14 and 691.16

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Solution

The fourth proportional to 728.21, 1,003.14 and 691.16 is: 952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.21 : 1,003.14 = 691.16 : x
  2. Step 2: Convert to fraction form
    728.21/1,003.14 = 691.16/x
  3. Step 3: Cross multiply
    728.21x = 1,003.14 × 691.16
  4. Step 4: Simplify right side
    728.21x = 693,330.24
  5. Step 5: Solve for x
    x = 693,330.24/728.21
  6. Step 6: Final answer
    x = 952.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.