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Finding the Fourth Proportional to 1,273.70, 1,909.11 and 542.90

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Solution

The fourth proportional to 1,273.70, 1,909.11 and 542.90 is: 813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.70 : 1,909.11 = 542.90 : x
  2. Step 2: Convert to fraction form
    1,273.70/1,909.11 = 542.90/x
  3. Step 3: Cross multiply
    1,273.70x = 1,909.11 × 542.90
  4. Step 4: Simplify right side
    1,273.70x = 1,036,455.82
  5. Step 5: Solve for x
    x = 1,036,455.82/1,273.70
  6. Step 6: Final answer
    x = 813.74

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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.