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Finding the Fourth Proportional to 959.40, 1,439.14 and 798.22

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Solution

The fourth proportional to 959.40, 1,439.14 and 798.22 is: 1,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.40 : 1,439.14 = 798.22 : x
  2. Step 2: Convert to fraction form
    959.40/1,439.14 = 798.22/x
  3. Step 3: Cross multiply
    959.40x = 1,439.14 × 798.22
  4. Step 4: Simplify right side
    959.40x = 1,148,750.33
  5. Step 5: Solve for x
    x = 1,148,750.33/959.40
  6. Step 6: Final answer
    x = 1,197.36

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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.