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Finding the Fourth Proportional to 1,180.71, 1,764.89 and 831.70

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Solution

The fourth proportional to 1,180.71, 1,764.89 and 831.70 is: 1,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.71 : 1,764.89 = 831.70 : x
  2. Step 2: Convert to fraction form
    1,180.71/1,764.89 = 831.70/x
  3. Step 3: Cross multiply
    1,180.71x = 1,764.89 × 831.70
  4. Step 4: Simplify right side
    1,180.71x = 1,467,860.18
  5. Step 5: Solve for x
    x = 1,467,860.18/1,180.71
  6. Step 6: Final answer
    x = 1,243.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.