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Finding the Fourth Proportional to 1,257.04, 1,882.86 and 768.52

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Solution

The fourth proportional to 1,257.04, 1,882.86 and 768.52 is: 1,151.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.04 : 1,882.86 = 768.52 : x
  2. Step 2: Convert to fraction form
    1,257.04/1,882.86 = 768.52/x
  3. Step 3: Cross multiply
    1,257.04x = 1,882.86 × 768.52
  4. Step 4: Simplify right side
    1,257.04x = 1,447,015.57
  5. Step 5: Solve for x
    x = 1,447,015.57/1,257.04
  6. Step 6: Final answer
    x = 1,151.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.