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Finding the Fourth Proportional to 1,266.88, 1,899.24 and 536.44

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Solution

The fourth proportional to 1,266.88, 1,899.24 and 536.44 is: 804.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.88 : 1,899.24 = 536.44 : x
  2. Step 2: Convert to fraction form
    1,266.88/1,899.24 = 536.44/x
  3. Step 3: Cross multiply
    1,266.88x = 1,899.24 × 536.44
  4. Step 4: Simplify right side
    1,266.88x = 1,018,828.31
  5. Step 5: Solve for x
    x = 1,018,828.31/1,266.88
  6. Step 6: Final answer
    x = 804.20

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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.