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Finding the Fourth Proportional to 1,131.04, 1,696.65 and 481.78

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Solution

The fourth proportional to 1,131.04, 1,696.65 and 481.78 is: 722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.04 : 1,696.65 = 481.78 : x
  2. Step 2: Convert to fraction form
    1,131.04/1,696.65 = 481.78/x
  3. Step 3: Cross multiply
    1,131.04x = 1,696.65 × 481.78
  4. Step 4: Simplify right side
    1,131.04x = 817,412.04
  5. Step 5: Solve for x
    x = 817,412.04/1,131.04
  6. Step 6: Final answer
    x = 722.71

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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.