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Finding the Fourth Proportional to 1,298.79, 1,793.22 and 962.78

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Solution

The fourth proportional to 1,298.79, 1,793.22 and 962.78 is: 1,329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.79 : 1,793.22 = 962.78 : x
  2. Step 2: Convert to fraction form
    1,298.79/1,793.22 = 962.78/x
  3. Step 3: Cross multiply
    1,298.79x = 1,793.22 × 962.78
  4. Step 4: Simplify right side
    1,298.79x = 1,726,467.39
  5. Step 5: Solve for x
    x = 1,726,467.39/1,298.79
  6. Step 6: Final answer
    x = 1,329.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.