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Finding the Fourth Proportional to 1,222.46, 1,686.93 and 724.91

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Solution

The fourth proportional to 1,222.46, 1,686.93 and 724.91 is: 1,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.46 : 1,686.93 = 724.91 : x
  2. Step 2: Convert to fraction form
    1,222.46/1,686.93 = 724.91/x
  3. Step 3: Cross multiply
    1,222.46x = 1,686.93 × 724.91
  4. Step 4: Simplify right side
    1,222.46x = 1,222,863.99
  5. Step 5: Solve for x
    x = 1,222,863.99/1,222.46
  6. Step 6: Final answer
    x = 1,000.33

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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.