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Finding the Fourth Proportional to 1,077.19, 1,616.33 and 460.73

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Solution

The fourth proportional to 1,077.19, 1,616.33 and 460.73 is: 691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.19 : 1,616.33 = 460.73 : x
  2. Step 2: Convert to fraction form
    1,077.19/1,616.33 = 460.73/x
  3. Step 3: Cross multiply
    1,077.19x = 1,616.33 × 460.73
  4. Step 4: Simplify right side
    1,077.19x = 744,684.25
  5. Step 5: Solve for x
    x = 744,684.25/1,077.19
  6. Step 6: Final answer
    x = 691.32

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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.