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Finding the Fourth Proportional to 1,119.86, 1,544.65 and 868.44

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Solution

The fourth proportional to 1,119.86, 1,544.65 and 868.44 is: 1,197.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.86 : 1,544.65 = 868.44 : x
  2. Step 2: Convert to fraction form
    1,119.86/1,544.65 = 868.44/x
  3. Step 3: Cross multiply
    1,119.86x = 1,544.65 × 868.44
  4. Step 4: Simplify right side
    1,119.86x = 1,341,432.51
  5. Step 5: Solve for x
    x = 1,341,432.51/1,119.86
  6. Step 6: Final answer
    x = 1,197.86

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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.