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Finding the Fourth Proportional to 1,267.18, 1,900.38 and 536.38

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Solution

The fourth proportional to 1,267.18, 1,900.38 and 536.38 is: 804.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.18 : 1,900.38 = 536.38 : x
  2. Step 2: Convert to fraction form
    1,267.18/1,900.38 = 536.38/x
  3. Step 3: Cross multiply
    1,267.18x = 1,900.38 × 536.38
  4. Step 4: Simplify right side
    1,267.18x = 1,019,325.82
  5. Step 5: Solve for x
    x = 1,019,325.82/1,267.18
  6. Step 6: Final answer
    x = 804.40

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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.