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Finding the Fourth Proportional to 1,249.29, 1,723.74 and 725.01

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Solution

The fourth proportional to 1,249.29, 1,723.74 and 725.01 is: 1,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.29 : 1,723.74 = 725.01 : x
  2. Step 2: Convert to fraction form
    1,249.29/1,723.74 = 725.01/x
  3. Step 3: Cross multiply
    1,249.29x = 1,723.74 × 725.01
  4. Step 4: Simplify right side
    1,249.29x = 1,249,728.74
  5. Step 5: Solve for x
    x = 1,249,728.74/1,249.29
  6. Step 6: Final answer
    x = 1,000.35

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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.