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Finding the Fourth Proportional to 1,241.48, 1,862.25 and 831.42

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Solution

The fourth proportional to 1,241.48, 1,862.25 and 831.42 is: 1,247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.48 : 1,862.25 = 831.42 : x
  2. Step 2: Convert to fraction form
    1,241.48/1,862.25 = 831.42/x
  3. Step 3: Cross multiply
    1,241.48x = 1,862.25 × 831.42
  4. Step 4: Simplify right side
    1,241.48x = 1,548,311.90
  5. Step 5: Solve for x
    x = 1,548,311.90/1,241.48
  6. Step 6: Final answer
    x = 1,247.16

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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.