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Finding the Fourth Proportional to 1,077.44, 1,616.25 and 297.44

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Solution

The fourth proportional to 1,077.44, 1,616.25 and 297.44 is: 446.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.44 : 1,616.25 = 297.44 : x
  2. Step 2: Convert to fraction form
    1,077.44/1,616.25 = 297.44/x
  3. Step 3: Cross multiply
    1,077.44x = 1,616.25 × 297.44
  4. Step 4: Simplify right side
    1,077.44x = 480,737.59
  5. Step 5: Solve for x
    x = 480,737.59/1,077.44
  6. Step 6: Final answer
    x = 446.19

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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.