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Finding the Fourth Proportional to 1,077.38, 1,616.06 and 347.03

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Solution

The fourth proportional to 1,077.38, 1,616.06 and 347.03 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.38 : 1,616.06 = 347.03 : x
  2. Step 2: Convert to fraction form
    1,077.38/1,616.06 = 347.03/x
  3. Step 3: Cross multiply
    1,077.38x = 1,616.06 × 347.03
  4. Step 4: Simplify right side
    1,077.38x = 560,814.09
  5. Step 5: Solve for x
    x = 560,814.09/1,077.38
  6. Step 6: Final answer
    x = 520.54

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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.