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Finding the Fourth Proportional to 1,266.41, 1,899.87 and 535.99

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Solution

The fourth proportional to 1,266.41, 1,899.87 and 535.99 is: 804.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.41 : 1,899.87 = 535.99 : x
  2. Step 2: Convert to fraction form
    1,266.41/1,899.87 = 535.99/x
  3. Step 3: Cross multiply
    1,266.41x = 1,899.87 × 535.99
  4. Step 4: Simplify right side
    1,266.41x = 1,018,299.14
  5. Step 5: Solve for x
    x = 1,018,299.14/1,266.41
  6. Step 6: Final answer
    x = 804.08

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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.