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Finding the Fourth Proportional to 1,209.81, 1,816.94 and 748.71

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Solution

The fourth proportional to 1,209.81, 1,816.94 and 748.71 is: 1,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.81 : 1,816.94 = 748.71 : x
  2. Step 2: Convert to fraction form
    1,209.81/1,816.94 = 748.71/x
  3. Step 3: Cross multiply
    1,209.81x = 1,816.94 × 748.71
  4. Step 4: Simplify right side
    1,209.81x = 1,360,361.15
  5. Step 5: Solve for x
    x = 1,360,361.15/1,209.81
  6. Step 6: Final answer
    x = 1,124.44

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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.