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Finding the Fourth Proportional to 1,057.68, 1,586.36 and 408.32

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Solution

The fourth proportional to 1,057.68, 1,586.36 and 408.32 is: 612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.68 : 1,586.36 = 408.32 : x
  2. Step 2: Convert to fraction form
    1,057.68/1,586.36 = 408.32/x
  3. Step 3: Cross multiply
    1,057.68x = 1,586.36 × 408.32
  4. Step 4: Simplify right side
    1,057.68x = 647,742.52
  5. Step 5: Solve for x
    x = 647,742.52/1,057.68
  6. Step 6: Final answer
    x = 612.42

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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.