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Finding the Fourth Proportional to 1,266.78, 1,901.04 and 536.43

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Solution

The fourth proportional to 1,266.78, 1,901.04 and 536.43 is: 805.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.78 : 1,901.04 = 536.43 : x
  2. Step 2: Convert to fraction form
    1,266.78/1,901.04 = 536.43/x
  3. Step 3: Cross multiply
    1,266.78x = 1,901.04 × 536.43
  4. Step 4: Simplify right side
    1,266.78x = 1,019,774.89
  5. Step 5: Solve for x
    x = 1,019,774.89/1,266.78
  6. Step 6: Final answer
    x = 805.01

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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.