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Finding the Fourth Proportional to 1,338.10, 2,006.55 and 607.30

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Solution

The fourth proportional to 1,338.10, 2,006.55 and 607.30 is: 910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.10 : 2,006.55 = 607.30 : x
  2. Step 2: Convert to fraction form
    1,338.10/2,006.55 = 607.30/x
  3. Step 3: Cross multiply
    1,338.10x = 2,006.55 × 607.30
  4. Step 4: Simplify right side
    1,338.10x = 1,218,577.82
  5. Step 5: Solve for x
    x = 1,218,577.82/1,338.10
  6. Step 6: Final answer
    x = 910.68

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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.