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Finding the Fourth Proportional to 1,024.12, 1,543.57 and 881.56

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Solution

The fourth proportional to 1,024.12, 1,543.57 and 881.56 is: 1,328.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.12 : 1,543.57 = 881.56 : x
  2. Step 2: Convert to fraction form
    1,024.12/1,543.57 = 881.56/x
  3. Step 3: Cross multiply
    1,024.12x = 1,543.57 × 881.56
  4. Step 4: Simplify right side
    1,024.12x = 1,360,749.57
  5. Step 5: Solve for x
    x = 1,360,749.57/1,024.12
  6. Step 6: Final answer
    x = 1,328.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.