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Finding the Fourth Proportional to 1,273.54, 1,909.23 and 503.50

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Solution

The fourth proportional to 1,273.54, 1,909.23 and 503.50 is: 754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.54 : 1,909.23 = 503.50 : x
  2. Step 2: Convert to fraction form
    1,273.54/1,909.23 = 503.50/x
  3. Step 3: Cross multiply
    1,273.54x = 1,909.23 × 503.50
  4. Step 4: Simplify right side
    1,273.54x = 961,297.31
  5. Step 5: Solve for x
    x = 961,297.31/1,273.54
  6. Step 6: Final answer
    x = 754.82

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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.