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Finding the Fourth Proportional to 1,274.52, 1,756.92 and 831.66

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Solution

The fourth proportional to 1,274.52, 1,756.92 and 831.66 is: 1,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.52 : 1,756.92 = 831.66 : x
  2. Step 2: Convert to fraction form
    1,274.52/1,756.92 = 831.66/x
  3. Step 3: Cross multiply
    1,274.52x = 1,756.92 × 831.66
  4. Step 4: Simplify right side
    1,274.52x = 1,461,160.09
  5. Step 5: Solve for x
    x = 1,461,160.09/1,274.52
  6. Step 6: Final answer
    x = 1,146.44

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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.