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Finding the Fourth Proportional to 3,077.50, 4,616.25 and 769

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Solution

The fourth proportional to 3,077.50, 4,616.25 and 769 is: 1,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.50 : 4,616.25 = 769 : x
  2. Step 2: Convert to fraction form
    3,077.50/4,616.25 = 769/x
  3. Step 3: Cross multiply
    3,077.50x = 4,616.25 × 769
  4. Step 4: Simplify right side
    3,077.50x = 3,549,896.25
  5. Step 5: Solve for x
    x = 3,549,896.25/3,077.50
  6. Step 6: Final answer
    x = 1,153.50

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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.