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Finding the Fourth Proportional to 832.29, 1,248.17 and 284.46

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Solution

The fourth proportional to 832.29, 1,248.17 and 284.46 is: 426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.29 : 1,248.17 = 284.46 : x
  2. Step 2: Convert to fraction form
    832.29/1,248.17 = 284.46/x
  3. Step 3: Cross multiply
    832.29x = 1,248.17 × 284.46
  4. Step 4: Simplify right side
    832.29x = 355,053.02
  5. Step 5: Solve for x
    x = 355,053.02/832.29
  6. Step 6: Final answer
    x = 426.60

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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.