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Finding the Fourth Proportional to 988.82, 1,482.56 and 696.56

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Solution

The fourth proportional to 988.82, 1,482.56 and 696.56 is: 1,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.82 : 1,482.56 = 696.56 : x
  2. Step 2: Convert to fraction form
    988.82/1,482.56 = 696.56/x
  3. Step 3: Cross multiply
    988.82x = 1,482.56 × 696.56
  4. Step 4: Simplify right side
    988.82x = 1,032,691.99
  5. Step 5: Solve for x
    x = 1,032,691.99/988.82
  6. Step 6: Final answer
    x = 1,044.37

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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.