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Finding the Fourth Proportional to 1,034.56, 1,551.82 and 304.20

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Solution

The fourth proportional to 1,034.56, 1,551.82 and 304.20 is: 456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.56 : 1,551.82 = 304.20 : x
  2. Step 2: Convert to fraction form
    1,034.56/1,551.82 = 304.20/x
  3. Step 3: Cross multiply
    1,034.56x = 1,551.82 × 304.20
  4. Step 4: Simplify right side
    1,034.56x = 472,063.64
  5. Step 5: Solve for x
    x = 472,063.64/1,034.56
  6. Step 6: Final answer
    x = 456.29

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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.