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Finding the Fourth Proportional to 1,144.04, 1,578.79 and 646.69

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Solution

The fourth proportional to 1,144.04, 1,578.79 and 646.69 is: 892.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.04 : 1,578.79 = 646.69 : x
  2. Step 2: Convert to fraction form
    1,144.04/1,578.79 = 646.69/x
  3. Step 3: Cross multiply
    1,144.04x = 1,578.79 × 646.69
  4. Step 4: Simplify right side
    1,144.04x = 1,020,979.81
  5. Step 5: Solve for x
    x = 1,020,979.81/1,144.04
  6. Step 6: Final answer
    x = 892.43

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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.