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Finding the Fourth Proportional to 1,047.90, 1,569.15 and 831.90

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Solution

The fourth proportional to 1,047.90, 1,569.15 and 831.90 is: 1,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.90 : 1,569.15 = 831.90 : x
  2. Step 2: Convert to fraction form
    1,047.90/1,569.15 = 831.90/x
  3. Step 3: Cross multiply
    1,047.90x = 1,569.15 × 831.90
  4. Step 4: Simplify right side
    1,047.90x = 1,305,375.89
  5. Step 5: Solve for x
    x = 1,305,375.89/1,047.90
  6. Step 6: Final answer
    x = 1,245.71

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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.