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Finding the Fourth Proportional to 1,415.27, 1,952.56 and 794.27

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Solution

The fourth proportional to 1,415.27, 1,952.56 and 794.27 is: 1,095.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.27 : 1,952.56 = 794.27 : x
  2. Step 2: Convert to fraction form
    1,415.27/1,952.56 = 794.27/x
  3. Step 3: Cross multiply
    1,415.27x = 1,952.56 × 794.27
  4. Step 4: Simplify right side
    1,415.27x = 1,550,859.83
  5. Step 5: Solve for x
    x = 1,550,859.83/1,415.27
  6. Step 6: Final answer
    x = 1,095.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.