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Finding the Fourth Proportional to 1,357.24, 1,872.78 and 767.80

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Solution

The fourth proportional to 1,357.24, 1,872.78 and 767.80 is: 1,059.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.24 : 1,872.78 = 767.80 : x
  2. Step 2: Convert to fraction form
    1,357.24/1,872.78 = 767.80/x
  3. Step 3: Cross multiply
    1,357.24x = 1,872.78 × 767.80
  4. Step 4: Simplify right side
    1,357.24x = 1,437,920.48
  5. Step 5: Solve for x
    x = 1,437,920.48/1,357.24
  6. Step 6: Final answer
    x = 1,059.44

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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.