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Finding the Fourth Proportional to 1,072.48, 1,468.90 and 1,009.42

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Solution

The fourth proportional to 1,072.48, 1,468.90 and 1,009.42 is: 1,382.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.48 : 1,468.90 = 1,009.42 : x
  2. Step 2: Convert to fraction form
    1,072.48/1,468.90 = 1,009.42/x
  3. Step 3: Cross multiply
    1,072.48x = 1,468.90 × 1,009.42
  4. Step 4: Simplify right side
    1,072.48x = 1,482,737.04
  5. Step 5: Solve for x
    x = 1,482,737.04/1,072.48
  6. Step 6: Final answer
    x = 1,382.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.