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Finding the Fourth Proportional to 1,202.33, 1,805.16 and 831.23

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Solution

The fourth proportional to 1,202.33, 1,805.16 and 831.23 is: 1,247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.33 : 1,805.16 = 831.23 : x
  2. Step 2: Convert to fraction form
    1,202.33/1,805.16 = 831.23/x
  3. Step 3: Cross multiply
    1,202.33x = 1,805.16 × 831.23
  4. Step 4: Simplify right side
    1,202.33x = 1,500,498.42
  5. Step 5: Solve for x
    x = 1,500,498.42/1,202.33
  6. Step 6: Final answer
    x = 1,247.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.