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Finding the Fourth Proportional to 1,429.43, 1,972.70 and 831.94

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Solution

The fourth proportional to 1,429.43, 1,972.70 and 831.94 is: 1,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.43 : 1,972.70 = 831.94 : x
  2. Step 2: Convert to fraction form
    1,429.43/1,972.70 = 831.94/x
  3. Step 3: Cross multiply
    1,429.43x = 1,972.70 × 831.94
  4. Step 4: Simplify right side
    1,429.43x = 1,641,166.75
  5. Step 5: Solve for x
    x = 1,641,166.75/1,429.43
  6. Step 6: Final answer
    x = 1,148.13

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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.