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Finding the Fourth Proportional to 1,338.06, 2,006.88 and 364.24

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Solution

The fourth proportional to 1,338.06, 2,006.88 and 364.24 is: 546.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.06 : 2,006.88 = 364.24 : x
  2. Step 2: Convert to fraction form
    1,338.06/2,006.88 = 364.24/x
  3. Step 3: Cross multiply
    1,338.06x = 2,006.88 × 364.24
  4. Step 4: Simplify right side
    1,338.06x = 730,985.97
  5. Step 5: Solve for x
    x = 730,985.97/1,338.06
  6. Step 6: Final answer
    x = 546.30

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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.