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Finding the Fourth Proportional to 1,057.89, 1,586.81 and 441.58

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Solution

The fourth proportional to 1,057.89, 1,586.81 and 441.58 is: 662.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.89 : 1,586.81 = 441.58 : x
  2. Step 2: Convert to fraction form
    1,057.89/1,586.81 = 441.58/x
  3. Step 3: Cross multiply
    1,057.89x = 1,586.81 × 441.58
  4. Step 4: Simplify right side
    1,057.89x = 700,707.53
  5. Step 5: Solve for x
    x = 700,707.53/1,057.89
  6. Step 6: Final answer
    x = 662.36

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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.