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Finding the Fourth Proportional to 1,559.29, 2,338.23 and 463.27

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Solution

The fourth proportional to 1,559.29, 2,338.23 and 463.27 is: 694.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.29 : 2,338.23 = 463.27 : x
  2. Step 2: Convert to fraction form
    1,559.29/2,338.23 = 463.27/x
  3. Step 3: Cross multiply
    1,559.29x = 2,338.23 × 463.27
  4. Step 4: Simplify right side
    1,559.29x = 1,083,231.81
  5. Step 5: Solve for x
    x = 1,083,231.81/1,559.29
  6. Step 6: Final answer
    x = 694.70

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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.