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Finding the Fourth Proportional to 1,144.55, 1,578.48 and 831.89

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Solution

The fourth proportional to 1,144.55, 1,578.48 and 831.89 is: 1,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.55 : 1,578.48 = 831.89 : x
  2. Step 2: Convert to fraction form
    1,144.55/1,578.48 = 831.89/x
  3. Step 3: Cross multiply
    1,144.55x = 1,578.48 × 831.89
  4. Step 4: Simplify right side
    1,144.55x = 1,313,121.73
  5. Step 5: Solve for x
    x = 1,313,121.73/1,144.55
  6. Step 6: Final answer
    x = 1,147.28

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1.5x scale

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.