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Finding the Fourth Proportional to 1,489.50, 2,055.75 and 868.38

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Solution

The fourth proportional to 1,489.50, 2,055.75 and 868.38 is: 1,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.50 : 2,055.75 = 868.38 : x
  2. Step 2: Convert to fraction form
    1,489.50/2,055.75 = 868.38/x
  3. Step 3: Cross multiply
    1,489.50x = 2,055.75 × 868.38
  4. Step 4: Simplify right side
    1,489.50x = 1,785,172.19
  5. Step 5: Solve for x
    x = 1,785,172.19/1,489.50
  6. Step 6: Final answer
    x = 1,198.50

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1.5x scale

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.