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Finding the Fourth Proportional to 691.41, 1,036.86 and 280.44

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Solution

The fourth proportional to 691.41, 1,036.86 and 280.44 is: 420.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.41 : 1,036.86 = 280.44 : x
  2. Step 2: Convert to fraction form
    691.41/1,036.86 = 280.44/x
  3. Step 3: Cross multiply
    691.41x = 1,036.86 × 280.44
  4. Step 4: Simplify right side
    691.41x = 290,777.02
  5. Step 5: Solve for x
    x = 290,777.02/691.41
  6. Step 6: Final answer
    x = 420.56

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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.