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Finding the Fourth Proportional to 1,243.80, 1,864.67 and 627.18

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Solution

The fourth proportional to 1,243.80, 1,864.67 and 627.18 is: 940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.80 : 1,864.67 = 627.18 : x
  2. Step 2: Convert to fraction form
    1,243.80/1,864.67 = 627.18/x
  3. Step 3: Cross multiply
    1,243.80x = 1,864.67 × 627.18
  4. Step 4: Simplify right side
    1,243.80x = 1,169,480.59
  5. Step 5: Solve for x
    x = 1,169,480.59/1,243.80
  6. Step 6: Final answer
    x = 940.25

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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.