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Finding the Fourth Proportional to 1,273.12, 1,909.68 and 348.77

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Solution

The fourth proportional to 1,273.12, 1,909.68 and 348.77 is: 523.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.12 : 1,909.68 = 348.77 : x
  2. Step 2: Convert to fraction form
    1,273.12/1,909.68 = 348.77/x
  3. Step 3: Cross multiply
    1,273.12x = 1,909.68 × 348.77
  4. Step 4: Simplify right side
    1,273.12x = 666,042.56
  5. Step 5: Solve for x
    x = 666,042.56/1,273.12
  6. Step 6: Final answer
    x = 523.16

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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.