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Finding the Fourth Proportional to 1,273.64, 1,909.44 and 542.70

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Solution

The fourth proportional to 1,273.64, 1,909.44 and 542.70 is: 813.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.64 : 1,909.44 = 542.70 : x
  2. Step 2: Convert to fraction form
    1,273.64/1,909.44 = 542.70/x
  3. Step 3: Cross multiply
    1,273.64x = 1,909.44 × 542.70
  4. Step 4: Simplify right side
    1,273.64x = 1,036,253.09
  5. Step 5: Solve for x
    x = 1,036,253.09/1,273.64
  6. Step 6: Final answer
    x = 813.62

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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.