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Finding the Fourth Proportional to 1,034.94, 1,552.42 and 265.44

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Solution

The fourth proportional to 1,034.94, 1,552.42 and 265.44 is: 398.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.94 : 1,552.42 = 265.44 : x
  2. Step 2: Convert to fraction form
    1,034.94/1,552.42 = 265.44/x
  3. Step 3: Cross multiply
    1,034.94x = 1,552.42 × 265.44
  4. Step 4: Simplify right side
    1,034.94x = 412,074.36
  5. Step 5: Solve for x
    x = 412,074.36/1,034.94
  6. Step 6: Final answer
    x = 398.16

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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.