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Finding the Fourth Proportional to 1,385.42, 2,077.85 and 411.30

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Solution

The fourth proportional to 1,385.42, 2,077.85 and 411.30 is: 616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.42 : 2,077.85 = 411.30 : x
  2. Step 2: Convert to fraction form
    1,385.42/2,077.85 = 411.30/x
  3. Step 3: Cross multiply
    1,385.42x = 2,077.85 × 411.30
  4. Step 4: Simplify right side
    1,385.42x = 854,617.65
  5. Step 5: Solve for x
    x = 854,617.65/1,385.42
  6. Step 6: Final answer
    x = 616.87

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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.