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Finding the Fourth Proportional to 832.14, 1,248.57 and 284.40

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Solution

The fourth proportional to 832.14, 1,248.57 and 284.40 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.14 : 1,248.57 = 284.40 : x
  2. Step 2: Convert to fraction form
    832.14/1,248.57 = 284.40/x
  3. Step 3: Cross multiply
    832.14x = 1,248.57 × 284.40
  4. Step 4: Simplify right side
    832.14x = 355,093.31
  5. Step 5: Solve for x
    x = 355,093.31/832.14
  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.