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Finding the Fourth Proportional to 1,284.45, 1,772.49 and 724.96

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Solution

The fourth proportional to 1,284.45, 1,772.49 and 724.96 is: 1,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.45 : 1,772.49 = 724.96 : x
  2. Step 2: Convert to fraction form
    1,284.45/1,772.49 = 724.96/x
  3. Step 3: Cross multiply
    1,284.45x = 1,772.49 × 724.96
  4. Step 4: Simplify right side
    1,284.45x = 1,284,984.35
  5. Step 5: Solve for x
    x = 1,284,984.35/1,284.45
  6. Step 6: Final answer
    x = 1,000.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.