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Finding the Fourth Proportional to 832.42, 1,248.64 and 284.61

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Solution

The fourth proportional to 832.42, 1,248.64 and 284.61 is: 426.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.42 : 1,248.64 = 284.61 : x
  2. Step 2: Convert to fraction form
    832.42/1,248.64 = 284.61/x
  3. Step 3: Cross multiply
    832.42x = 1,248.64 × 284.61
  4. Step 4: Simplify right side
    832.42x = 355,376.47
  5. Step 5: Solve for x
    x = 355,376.47/832.42
  6. Step 6: Final answer
    x = 426.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.