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Finding the Fourth Proportional to 691.47, 1,037.14 and 280.33

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Solution

The fourth proportional to 691.47, 1,037.14 and 280.33 is: 420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.47 : 1,037.14 = 280.33 : x
  2. Step 2: Convert to fraction form
    691.47/1,037.14 = 280.33/x
  3. Step 3: Cross multiply
    691.47x = 1,037.14 × 280.33
  4. Step 4: Simplify right side
    691.47x = 290,738.16
  5. Step 5: Solve for x
    x = 290,738.16/691.47
  6. Step 6: Final answer
    x = 420.46

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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.