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Finding the Fourth Proportional to 1,057.27, 1,586.10 and 354.41

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Solution

The fourth proportional to 1,057.27, 1,586.10 and 354.41 is: 531.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.27 : 1,586.10 = 354.41 : x
  2. Step 2: Convert to fraction form
    1,057.27/1,586.10 = 354.41/x
  3. Step 3: Cross multiply
    1,057.27x = 1,586.10 × 354.41
  4. Step 4: Simplify right side
    1,057.27x = 562,135.74
  5. Step 5: Solve for x
    x = 562,135.74/1,057.27
  6. Step 6: Final answer
    x = 531.68

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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.