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Finding the Fourth Proportional to 1,057.47, 1,586.31 and 441.09

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Solution

The fourth proportional to 1,057.47, 1,586.31 and 441.09 is: 661.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.47 : 1,586.31 = 441.09 : x
  2. Step 2: Convert to fraction form
    1,057.47/1,586.31 = 441.09/x
  3. Step 3: Cross multiply
    1,057.47x = 1,586.31 × 441.09
  4. Step 4: Simplify right side
    1,057.47x = 699,705.48
  5. Step 5: Solve for x
    x = 699,705.48/1,057.47
  6. Step 6: Final answer
    x = 661.68

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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.