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Finding the Fourth Proportional to 1,034.61, 1,552.06 and 304.24

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Solution

The fourth proportional to 1,034.61, 1,552.06 and 304.24 is: 456.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.61 : 1,552.06 = 304.24 : x
  2. Step 2: Convert to fraction form
    1,034.61/1,552.06 = 304.24/x
  3. Step 3: Cross multiply
    1,034.61x = 1,552.06 × 304.24
  4. Step 4: Simplify right side
    1,034.61x = 472,198.73
  5. Step 5: Solve for x
    x = 472,198.73/1,034.61
  6. Step 6: Final answer
    x = 456.40

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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.