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Finding the Fourth Proportional to 1,057.83, 1,586.78 and 327.41

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Solution

The fourth proportional to 1,057.83, 1,586.78 and 327.41 is: 491.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.83 : 1,586.78 = 327.41 : x
  2. Step 2: Convert to fraction form
    1,057.83/1,586.78 = 327.41/x
  3. Step 3: Cross multiply
    1,057.83x = 1,586.78 × 327.41
  4. Step 4: Simplify right side
    1,057.83x = 519,527.64
  5. Step 5: Solve for x
    x = 519,527.64/1,057.83
  6. Step 6: Final answer
    x = 491.13

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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.