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Finding the Fourth Proportional to 1,219.59, 1,831.41 and 672.84

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Solution

The fourth proportional to 1,219.59, 1,831.41 and 672.84 is: 1,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.59 : 1,831.41 = 672.84 : x
  2. Step 2: Convert to fraction form
    1,219.59/1,831.41 = 672.84/x
  3. Step 3: Cross multiply
    1,219.59x = 1,831.41 × 672.84
  4. Step 4: Simplify right side
    1,219.59x = 1,232,245.90
  5. Step 5: Solve for x
    x = 1,232,245.90/1,219.59
  6. Step 6: Final answer
    x = 1,010.38

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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.