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Finding the Fourth Proportional to 1,273.76, 1,909.20 and 623.12

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Solution

The fourth proportional to 1,273.76, 1,909.20 and 623.12 is: 933.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.76 : 1,909.20 = 623.12 : x
  2. Step 2: Convert to fraction form
    1,273.76/1,909.20 = 623.12/x
  3. Step 3: Cross multiply
    1,273.76x = 1,909.20 × 623.12
  4. Step 4: Simplify right side
    1,273.76x = 1,189,660.70
  5. Step 5: Solve for x
    x = 1,189,660.70/1,273.76
  6. Step 6: Final answer
    x = 933.98

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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.