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Finding the Fourth Proportional to 1,364.02, 2,045.79 and 363.38

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Solution

The fourth proportional to 1,364.02, 2,045.79 and 363.38 is: 545.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.02 : 2,045.79 = 363.38 : x
  2. Step 2: Convert to fraction form
    1,364.02/2,045.79 = 363.38/x
  3. Step 3: Cross multiply
    1,364.02x = 2,045.79 × 363.38
  4. Step 4: Simplify right side
    1,364.02x = 743,399.17
  5. Step 5: Solve for x
    x = 743,399.17/1,364.02
  6. Step 6: Final answer
    x = 545.01

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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.