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Finding the Fourth Proportional to 1,202.99, 1,660.78 and 831.96

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Solution

The fourth proportional to 1,202.99, 1,660.78 and 831.96 is: 1,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.99 : 1,660.78 = 831.96 : x
  2. Step 2: Convert to fraction form
    1,202.99/1,660.78 = 831.96/x
  3. Step 3: Cross multiply
    1,202.99x = 1,660.78 × 831.96
  4. Step 4: Simplify right side
    1,202.99x = 1,381,702.53
  5. Step 5: Solve for x
    x = 1,381,702.53/1,202.99
  6. Step 6: Final answer
    x = 1,148.56

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Why These Related Problems?

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