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Finding the Fourth Proportional to 1,057.51, 1,586.33 and 441.27

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Solution

The fourth proportional to 1,057.51, 1,586.33 and 441.27 is: 661.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.51 : 1,586.33 = 441.27 : x
  2. Step 2: Convert to fraction form
    1,057.51/1,586.33 = 441.27/x
  3. Step 3: Cross multiply
    1,057.51x = 1,586.33 × 441.27
  4. Step 4: Simplify right side
    1,057.51x = 700,006.23
  5. Step 5: Solve for x
    x = 700,006.23/1,057.51
  6. Step 6: Final answer
    x = 661.94

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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.