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Finding the Fourth Proportional to 1,057.75, 1,586.46 and 364.26

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Solution

The fourth proportional to 1,057.75, 1,586.46 and 364.26 is: 546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.75 : 1,586.46 = 364.26 : x
  2. Step 2: Convert to fraction form
    1,057.75/1,586.46 = 364.26/x
  3. Step 3: Cross multiply
    1,057.75x = 1,586.46 × 364.26
  4. Step 4: Simplify right side
    1,057.75x = 577,883.92
  5. Step 5: Solve for x
    x = 577,883.92/1,057.75
  6. Step 6: Final answer
    x = 546.33

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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.