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Finding the Fourth Proportional to 1,057.47, 1,586.21 and 813.26

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Solution

The fourth proportional to 1,057.47, 1,586.21 and 813.26 is: 1,219.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.47 : 1,586.21 = 813.26 : x
  2. Step 2: Convert to fraction form
    1,057.47/1,586.21 = 813.26/x
  3. Step 3: Cross multiply
    1,057.47x = 1,586.21 × 813.26
  4. Step 4: Simplify right side
    1,057.47x = 1,289,989.15
  5. Step 5: Solve for x
    x = 1,289,989.15/1,057.47
  6. Step 6: Final answer
    x = 1,219.88

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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.