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Finding the Fourth Proportional to 691.54, 1,037.31 and 280.68

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Solution

The fourth proportional to 691.54, 1,037.31 and 280.68 is: 421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.54 : 1,037.31 = 280.68 : x
  2. Step 2: Convert to fraction form
    691.54/1,037.31 = 280.68/x
  3. Step 3: Cross multiply
    691.54x = 1,037.31 × 280.68
  4. Step 4: Simplify right side
    691.54x = 291,148.81
  5. Step 5: Solve for x
    x = 291,148.81/691.54
  6. Step 6: Final answer
    x = 421.01

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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.