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Finding the Fourth Proportional to 691, 1,036.29 and 280.12

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Solution

The fourth proportional to 691, 1,036.29 and 280.12 is: 420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    691 : 1,036.29 = 280.12 : x
  2. Step 2: Convert to fraction form
    691/1,036.29 = 280.12/x
  3. Step 3: Cross multiply
    691x = 1,036.29 × 280.12
  4. Step 4: Simplify right side
    691x = 290,285.55
  5. Step 5: Solve for x
    x = 290,285.55/691
  6. Step 6: Final answer
    x = 420.09

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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.