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Finding the Fourth Proportional to 1,433.27, 2,148.99 and 508.66

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Solution

The fourth proportional to 1,433.27, 2,148.99 and 508.66 is: 762.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.27 : 2,148.99 = 508.66 : x
  2. Step 2: Convert to fraction form
    1,433.27/2,148.99 = 508.66/x
  3. Step 3: Cross multiply
    1,433.27x = 2,148.99 × 508.66
  4. Step 4: Simplify right side
    1,433.27x = 1,093,105.25
  5. Step 5: Solve for x
    x = 1,093,105.25/1,433.27
  6. Step 6: Final answer
    x = 762.67

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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.