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Finding the Fourth Proportional to 1,077.65, 1,616.43 and 308.15

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Solution

The fourth proportional to 1,077.65, 1,616.43 and 308.15 is: 462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.65 : 1,616.43 = 308.15 : x
  2. Step 2: Convert to fraction form
    1,077.65/1,616.43 = 308.15/x
  3. Step 3: Cross multiply
    1,077.65x = 1,616.43 × 308.15
  4. Step 4: Simplify right side
    1,077.65x = 498,094.82
  5. Step 5: Solve for x
    x = 498,094.82/1,077.65
  6. Step 6: Final answer
    x = 462.21

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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.