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Finding the Fourth Proportional to 1,077.02, 1,616.44 and 769.62

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Solution

The fourth proportional to 1,077.02, 1,616.44 and 769.62 is: 1,155.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.02 : 1,616.44 = 769.62 : x
  2. Step 2: Convert to fraction form
    1,077.02/1,616.44 = 769.62/x
  3. Step 3: Cross multiply
    1,077.02x = 1,616.44 × 769.62
  4. Step 4: Simplify right side
    1,077.02x = 1,244,044.55
  5. Step 5: Solve for x
    x = 1,244,044.55/1,077.02
  6. Step 6: Final answer
    x = 1,155.08

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Why These Related Problems?

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