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Finding the Fourth Proportional to 1,020.78, 1,530.27 and 443.34

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Solution

The fourth proportional to 1,020.78, 1,530.27 and 443.34 is: 664.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.78 : 1,530.27 = 443.34 : x
  2. Step 2: Convert to fraction form
    1,020.78/1,530.27 = 443.34/x
  3. Step 3: Cross multiply
    1,020.78x = 1,530.27 × 443.34
  4. Step 4: Simplify right side
    1,020.78x = 678,429.90
  5. Step 5: Solve for x
    x = 678,429.90/1,020.78
  6. Step 6: Final answer
    x = 664.62

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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.