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Finding the Fourth Proportional to 1,321.17, 1,981.74 and 541.59

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Solution

The fourth proportional to 1,321.17, 1,981.74 and 541.59 is: 812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.17 : 1,981.74 = 541.59 : x
  2. Step 2: Convert to fraction form
    1,321.17/1,981.74 = 541.59/x
  3. Step 3: Cross multiply
    1,321.17x = 1,981.74 × 541.59
  4. Step 4: Simplify right side
    1,321.17x = 1,073,290.57
  5. Step 5: Solve for x
    x = 1,073,290.57/1,321.17
  6. Step 6: Final answer
    x = 812.38

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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.