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Finding the Fourth Proportional to 1,034.78, 1,552.16 and 294.44

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Solution

The fourth proportional to 1,034.78, 1,552.16 and 294.44 is: 441.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.78 : 1,552.16 = 294.44 : x
  2. Step 2: Convert to fraction form
    1,034.78/1,552.16 = 294.44/x
  3. Step 3: Cross multiply
    1,034.78x = 1,552.16 × 294.44
  4. Step 4: Simplify right side
    1,034.78x = 457,010.97
  5. Step 5: Solve for x
    x = 457,010.97/1,034.78
  6. Step 6: Final answer
    x = 441.65

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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.