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Finding the Fourth Proportional to 1,266.18, 1,899.11 and 535.66

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Solution

The fourth proportional to 1,266.18, 1,899.11 and 535.66 is: 803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.18 : 1,899.11 = 535.66 : x
  2. Step 2: Convert to fraction form
    1,266.18/1,899.11 = 535.66/x
  3. Step 3: Cross multiply
    1,266.18x = 1,899.11 × 535.66
  4. Step 4: Simplify right side
    1,266.18x = 1,017,265.09
  5. Step 5: Solve for x
    x = 1,017,265.09/1,266.18
  6. Step 6: Final answer
    x = 803.42

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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.