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Finding the Fourth Proportional to 1,363.23, 2,045.18 and 438.88

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Solution

The fourth proportional to 1,363.23, 2,045.18 and 438.88 is: 658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.23 : 2,045.18 = 438.88 : x
  2. Step 2: Convert to fraction form
    1,363.23/2,045.18 = 438.88/x
  3. Step 3: Cross multiply
    1,363.23x = 2,045.18 × 438.88
  4. Step 4: Simplify right side
    1,363.23x = 897,576.18
  5. Step 5: Solve for x
    x = 897,576.18/1,363.23
  6. Step 6: Final answer
    x = 658.42

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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.