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Finding the Fourth Proportional to 832.59, 1,248.10 and 284.38

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Solution

The fourth proportional to 832.59, 1,248.10 and 284.38 is: 426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.59 : 1,248.10 = 284.38 : x
  2. Step 2: Convert to fraction form
    832.59/1,248.10 = 284.38/x
  3. Step 3: Cross multiply
    832.59x = 1,248.10 × 284.38
  4. Step 4: Simplify right side
    832.59x = 354,934.68
  5. Step 5: Solve for x
    x = 354,934.68/832.59
  6. Step 6: Final answer
    x = 426.30

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1.5x scale

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.