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Finding the Fourth Proportional to 1,358.55, 1,874.81 and 769.10

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Solution

The fourth proportional to 1,358.55, 1,874.81 and 769.10 is: 1,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.55 : 1,874.81 = 769.10 : x
  2. Step 2: Convert to fraction form
    1,358.55/1,874.81 = 769.10/x
  3. Step 3: Cross multiply
    1,358.55x = 1,874.81 × 769.10
  4. Step 4: Simplify right side
    1,358.55x = 1,441,908.92
  5. Step 5: Solve for x
    x = 1,441,908.92/1,358.55
  6. Step 6: Final answer
    x = 1,061.36

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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.