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Finding the Fourth Proportional to 1,131, 1,696.80 and 361.52

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Solution

The fourth proportional to 1,131, 1,696.80 and 361.52 is: 542.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131 : 1,696.80 = 361.52 : x
  2. Step 2: Convert to fraction form
    1,131/1,696.80 = 361.52/x
  3. Step 3: Cross multiply
    1,131x = 1,696.80 × 361.52
  4. Step 4: Simplify right side
    1,131x = 613,427.14
  5. Step 5: Solve for x
    x = 613,427.14/1,131
  6. Step 6: Final answer
    x = 542.38

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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.