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Finding the Fourth Proportional to 1,284.49, 1,772.67 and 724.98

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Solution

The fourth proportional to 1,284.49, 1,772.67 and 724.98 is: 1,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.49 : 1,772.67 = 724.98 : x
  2. Step 2: Convert to fraction form
    1,284.49/1,772.67 = 724.98/x
  3. Step 3: Cross multiply
    1,284.49x = 1,772.67 × 724.98
  4. Step 4: Simplify right side
    1,284.49x = 1,285,146.67
  5. Step 5: Solve for x
    x = 1,285,146.67/1,284.49
  6. Step 6: Final answer
    x = 1,000.52

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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.