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Finding the Fourth Proportional to 1,363.41, 2,045.13 and 337.41

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Solution

The fourth proportional to 1,363.41, 2,045.13 and 337.41 is: 506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.41 : 2,045.13 = 337.41 : x
  2. Step 2: Convert to fraction form
    1,363.41/2,045.13 = 337.41/x
  3. Step 3: Cross multiply
    1,363.41x = 2,045.13 × 337.41
  4. Step 4: Simplify right side
    1,363.41x = 690,047.31
  5. Step 5: Solve for x
    x = 690,047.31/1,363.41
  6. Step 6: Final answer
    x = 506.12

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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.