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Finding the Fourth Proportional to 881.10, 1,321.16 and 510.83

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Solution

The fourth proportional to 881.10, 1,321.16 and 510.83 is: 765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.10 : 1,321.16 = 510.83 : x
  2. Step 2: Convert to fraction form
    881.10/1,321.16 = 510.83/x
  3. Step 3: Cross multiply
    881.10x = 1,321.16 × 510.83
  4. Step 4: Simplify right side
    881.10x = 674,888.16
  5. Step 5: Solve for x
    x = 674,888.16/881.10
  6. Step 6: Final answer
    x = 765.96

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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.