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Finding the Fourth Proportional to 1,358.28, 1,874.48 and 768.83

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Solution

The fourth proportional to 1,358.28, 1,874.48 and 768.83 is: 1,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.28 : 1,874.48 = 768.83 : x
  2. Step 2: Convert to fraction form
    1,358.28/1,874.48 = 768.83/x
  3. Step 3: Cross multiply
    1,358.28x = 1,874.48 × 768.83
  4. Step 4: Simplify right side
    1,358.28x = 1,441,143.24
  5. Step 5: Solve for x
    x = 1,441,143.24/1,358.28
  6. Step 6: Final answer
    x = 1,061.01

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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.