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Finding the Fourth Proportional to 1,284.23, 1,772.16 and 724.61

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Solution

The fourth proportional to 1,284.23, 1,772.16 and 724.61 is: 999.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.23 : 1,772.16 = 724.61 : x
  2. Step 2: Convert to fraction form
    1,284.23/1,772.16 = 724.61/x
  3. Step 3: Cross multiply
    1,284.23x = 1,772.16 × 724.61
  4. Step 4: Simplify right side
    1,284.23x = 1,284,124.86
  5. Step 5: Solve for x
    x = 1,284,124.86/1,284.23
  6. Step 6: Final answer
    x = 999.92

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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.