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Finding the Fourth Proportional to 1,029.82, 1,544.86 and 542.90

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Solution

The fourth proportional to 1,029.82, 1,544.86 and 542.90 is: 814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.82 : 1,544.86 = 542.90 : x
  2. Step 2: Convert to fraction form
    1,029.82/1,544.86 = 542.90/x
  3. Step 3: Cross multiply
    1,029.82x = 1,544.86 × 542.90
  4. Step 4: Simplify right side
    1,029.82x = 838,704.49
  5. Step 5: Solve for x
    x = 838,704.49/1,029.82
  6. Step 6: Final answer
    x = 814.42

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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.