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Finding the Fourth Proportional to 1,775.31, 2,663.11 and 542.82

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Solution

The fourth proportional to 1,775.31, 2,663.11 and 542.82 is: 814.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.31 : 2,663.11 = 542.82 : x
  2. Step 2: Convert to fraction form
    1,775.31/2,663.11 = 542.82/x
  3. Step 3: Cross multiply
    1,775.31x = 2,663.11 × 542.82
  4. Step 4: Simplify right side
    1,775.31x = 1,445,589.37
  5. Step 5: Solve for x
    x = 1,445,589.37/1,775.31
  6. Step 6: Final answer
    x = 814.27

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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.