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Finding the Fourth Proportional to 1,034.62, 1,552.14 and 304.11

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Solution

The fourth proportional to 1,034.62, 1,552.14 and 304.11 is: 456.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.62 : 1,552.14 = 304.11 : x
  2. Step 2: Convert to fraction form
    1,034.62/1,552.14 = 304.11/x
  3. Step 3: Cross multiply
    1,034.62x = 1,552.14 × 304.11
  4. Step 4: Simplify right side
    1,034.62x = 472,021.30
  5. Step 5: Solve for x
    x = 472,021.30/1,034.62
  6. Step 6: Final answer
    x = 456.23

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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.