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Finding the Fourth Proportional to 1,494.05, 2,239.77 and 713.66

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Solution

The fourth proportional to 1,494.05, 2,239.77 and 713.66 is: 1,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.05 : 2,239.77 = 713.66 : x
  2. Step 2: Convert to fraction form
    1,494.05/2,239.77 = 713.66/x
  3. Step 3: Cross multiply
    1,494.05x = 2,239.77 × 713.66
  4. Step 4: Simplify right side
    1,494.05x = 1,598,434.26
  5. Step 5: Solve for x
    x = 1,598,434.26/1,494.05
  6. Step 6: Final answer
    x = 1,069.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.