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Finding the Fourth Proportional to 1,298.54, 1,944.03 and 680.78

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Solution

The fourth proportional to 1,298.54, 1,944.03 and 680.78 is: 1,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.54 : 1,944.03 = 680.78 : x
  2. Step 2: Convert to fraction form
    1,298.54/1,944.03 = 680.78/x
  3. Step 3: Cross multiply
    1,298.54x = 1,944.03 × 680.78
  4. Step 4: Simplify right side
    1,298.54x = 1,323,456.74
  5. Step 5: Solve for x
    x = 1,323,456.74/1,298.54
  6. Step 6: Final answer
    x = 1,019.19

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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.