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Finding the Fourth Proportional to 1,284.72, 1,772.88 and 725.24

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Solution

The fourth proportional to 1,284.72, 1,772.88 and 725.24 is: 1,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.72 : 1,772.88 = 725.24 : x
  2. Step 2: Convert to fraction form
    1,284.72/1,772.88 = 725.24/x
  3. Step 3: Cross multiply
    1,284.72x = 1,772.88 × 725.24
  4. Step 4: Simplify right side
    1,284.72x = 1,285,763.49
  5. Step 5: Solve for x
    x = 1,285,763.49/1,284.72
  6. Step 6: Final answer
    x = 1,000.81

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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.