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Finding the Fourth Proportional to 898.25, 1,239.99 and 665.78

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Solution

The fourth proportional to 898.25, 1,239.99 and 665.78 is: 919.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.25 : 1,239.99 = 665.78 : x
  2. Step 2: Convert to fraction form
    898.25/1,239.99 = 665.78/x
  3. Step 3: Cross multiply
    898.25x = 1,239.99 × 665.78
  4. Step 4: Simplify right side
    898.25x = 825,560.54
  5. Step 5: Solve for x
    x = 825,560.54/898.25
  6. Step 6: Final answer
    x = 919.08

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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.