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Finding the Fourth Proportional to 832.55, 1,248.39 and 284.58

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Solution

The fourth proportional to 832.55, 1,248.39 and 284.58 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.55 : 1,248.39 = 284.58 : x
  2. Step 2: Convert to fraction form
    832.55/1,248.39 = 284.58/x
  3. Step 3: Cross multiply
    832.55x = 1,248.39 × 284.58
  4. Step 4: Simplify right side
    832.55x = 355,266.83
  5. Step 5: Solve for x
    x = 355,266.83/832.55
  6. Step 6: Final answer
    x = 426.72

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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.