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Finding the Fourth Proportional to 1,035.97, 1,551.68 and 803.03

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Solution

The fourth proportional to 1,035.97, 1,551.68 and 803.03 is: 1,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.97 : 1,551.68 = 803.03 : x
  2. Step 2: Convert to fraction form
    1,035.97/1,551.68 = 803.03/x
  3. Step 3: Cross multiply
    1,035.97x = 1,551.68 × 803.03
  4. Step 4: Simplify right side
    1,035.97x = 1,246,045.56
  5. Step 5: Solve for x
    x = 1,246,045.56/1,035.97
  6. Step 6: Final answer
    x = 1,202.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.