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Finding the Fourth Proportional to 1,057.89, 1,587.30 and 441.72

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Solution

The fourth proportional to 1,057.89, 1,587.30 and 441.72 is: 662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.89 : 1,587.30 = 441.72 : x
  2. Step 2: Convert to fraction form
    1,057.89/1,587.30 = 441.72/x
  3. Step 3: Cross multiply
    1,057.89x = 1,587.30 × 441.72
  4. Step 4: Simplify right side
    1,057.89x = 701,142.16
  5. Step 5: Solve for x
    x = 701,142.16/1,057.89
  6. Step 6: Final answer
    x = 662.77

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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.