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Finding the Fourth Proportional to 1,034.72, 1,552.14 and 341.62

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Solution

The fourth proportional to 1,034.72, 1,552.14 and 341.62 is: 512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.72 : 1,552.14 = 341.62 : x
  2. Step 2: Convert to fraction form
    1,034.72/1,552.14 = 341.62/x
  3. Step 3: Cross multiply
    1,034.72x = 1,552.14 × 341.62
  4. Step 4: Simplify right side
    1,034.72x = 530,234.31
  5. Step 5: Solve for x
    x = 530,234.31/1,034.72
  6. Step 6: Final answer
    x = 512.44

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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.