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Finding the Fourth Proportional to 832.55, 1,248.82 and 284.73

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Solution

The fourth proportional to 832.55, 1,248.82 and 284.73 is: 427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.55 : 1,248.82 = 284.73 : x
  2. Step 2: Convert to fraction form
    832.55/1,248.82 = 284.73/x
  3. Step 3: Cross multiply
    832.55x = 1,248.82 × 284.73
  4. Step 4: Simplify right side
    832.55x = 355,572.88
  5. Step 5: Solve for x
    x = 355,572.88/832.55
  6. Step 6: Final answer
    x = 427.09

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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.