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Finding the Fourth Proportional to 1,222.33, 1,686.84 and 725.01

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Solution

The fourth proportional to 1,222.33, 1,686.84 and 725.01 is: 1,000.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.33 : 1,686.84 = 725.01 : x
  2. Step 2: Convert to fraction form
    1,222.33/1,686.84 = 725.01/x
  3. Step 3: Cross multiply
    1,222.33x = 1,686.84 × 725.01
  4. Step 4: Simplify right side
    1,222.33x = 1,222,979.70
  5. Step 5: Solve for x
    x = 1,222,979.70/1,222.33
  6. Step 6: Final answer
    x = 1,000.53

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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.