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Finding the Fourth Proportional to 1,111.90, 1,532.71 and 831.71

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Solution

The fourth proportional to 1,111.90, 1,532.71 and 831.71 is: 1,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.90 : 1,532.71 = 831.71 : x
  2. Step 2: Convert to fraction form
    1,111.90/1,532.71 = 831.71/x
  3. Step 3: Cross multiply
    1,111.90x = 1,532.71 × 831.71
  4. Step 4: Simplify right side
    1,111.90x = 1,274,770.23
  5. Step 5: Solve for x
    x = 1,274,770.23/1,111.90
  6. Step 6: Final answer
    x = 1,146.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.