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Finding the Fourth Proportional to 691.28, 1,037.28 and 460.56

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Solution

The fourth proportional to 691.28, 1,037.28 and 460.56 is: 691.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.28 : 1,037.28 = 460.56 : x
  2. Step 2: Convert to fraction form
    691.28/1,037.28 = 460.56/x
  3. Step 3: Cross multiply
    691.28x = 1,037.28 × 460.56
  4. Step 4: Simplify right side
    691.28x = 477,729.68
  5. Step 5: Solve for x
    x = 477,729.68/691.28
  6. Step 6: Final answer
    x = 691.08

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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.