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Finding the Fourth Proportional to 691.32, 1,036.13 and 280.24

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Solution

The fourth proportional to 691.32, 1,036.13 and 280.24 is: 420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.32 : 1,036.13 = 280.24 : x
  2. Step 2: Convert to fraction form
    691.32/1,036.13 = 280.24/x
  3. Step 3: Cross multiply
    691.32x = 1,036.13 × 280.24
  4. Step 4: Simplify right side
    691.32x = 290,365.07
  5. Step 5: Solve for x
    x = 290,365.07/691.32
  6. Step 6: Final answer
    x = 420.02

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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.