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Finding the Fourth Proportional to 1,382.03, 1,907.91 and 1,066.59

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Solution

The fourth proportional to 1,382.03, 1,907.91 and 1,066.59 is: 1,472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.03 : 1,907.91 = 1,066.59 : x
  2. Step 2: Convert to fraction form
    1,382.03/1,907.91 = 1,066.59/x
  3. Step 3: Cross multiply
    1,382.03x = 1,907.91 × 1,066.59
  4. Step 4: Simplify right side
    1,382.03x = 2,034,957.73
  5. Step 5: Solve for x
    x = 2,034,957.73/1,382.03
  6. Step 6: Final answer
    x = 1,472.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.