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Finding the Fourth Proportional to 829.90, 1,244.87 and 282.08

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Solution

The fourth proportional to 829.90, 1,244.87 and 282.08 is: 423.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.90 : 1,244.87 = 282.08 : x
  2. Step 2: Convert to fraction form
    829.90/1,244.87 = 282.08/x
  3. Step 3: Cross multiply
    829.90x = 1,244.87 × 282.08
  4. Step 4: Simplify right side
    829.90x = 351,155.69
  5. Step 5: Solve for x
    x = 351,155.69/829.90
  6. Step 6: Final answer
    x = 423.13

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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.