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Finding the Fourth Proportional to 1,177.18, 1,766.07 and 831.19

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Solution

The fourth proportional to 1,177.18, 1,766.07 and 831.19 is: 1,247.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.18 : 1,766.07 = 831.19 : x
  2. Step 2: Convert to fraction form
    1,177.18/1,766.07 = 831.19/x
  3. Step 3: Cross multiply
    1,177.18x = 1,766.07 × 831.19
  4. Step 4: Simplify right side
    1,177.18x = 1,467,939.72
  5. Step 5: Solve for x
    x = 1,467,939.72/1,177.18
  6. Step 6: Final answer
    x = 1,247.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.