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Finding the Fourth Proportional to 829.85, 1,244.77 and 282.08

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Solution

The fourth proportional to 829.85, 1,244.77 and 282.08 is: 423.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.85 : 1,244.77 = 282.08 : x
  2. Step 2: Convert to fraction form
    829.85/1,244.77 = 282.08/x
  3. Step 3: Cross multiply
    829.85x = 1,244.77 × 282.08
  4. Step 4: Simplify right side
    829.85x = 351,127.13
  5. Step 5: Solve for x
    x = 351,127.13/829.85
  6. Step 6: Final answer
    x = 423.12

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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.