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Finding the Fourth Proportional to 1,988.82, 2,983.28 and 527.97

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Solution

The fourth proportional to 1,988.82, 2,983.28 and 527.97 is: 791.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.82 : 2,983.28 = 527.97 : x
  2. Step 2: Convert to fraction form
    1,988.82/2,983.28 = 527.97/x
  3. Step 3: Cross multiply
    1,988.82x = 2,983.28 × 527.97
  4. Step 4: Simplify right side
    1,988.82x = 1,575,079.70
  5. Step 5: Solve for x
    x = 1,575,079.70/1,988.82
  6. Step 6: Final answer
    x = 791.97

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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.