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Finding the Fourth Proportional to 1,034.70, 1,552.34 and 304.26

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Solution

The fourth proportional to 1,034.70, 1,552.34 and 304.26 is: 456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.70 : 1,552.34 = 304.26 : x
  2. Step 2: Convert to fraction form
    1,034.70/1,552.34 = 304.26/x
  3. Step 3: Cross multiply
    1,034.70x = 1,552.34 × 304.26
  4. Step 4: Simplify right side
    1,034.70x = 472,314.97
  5. Step 5: Solve for x
    x = 472,314.97/1,034.70
  6. Step 6: Final answer
    x = 456.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.