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Finding the Fourth Proportional to 1,267.70, 1,900.91 and 767.87

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Solution

The fourth proportional to 1,267.70, 1,900.91 and 767.87 is: 1,151.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.70 : 1,900.91 = 767.87 : x
  2. Step 2: Convert to fraction form
    1,267.70/1,900.91 = 767.87/x
  3. Step 3: Cross multiply
    1,267.70x = 1,900.91 × 767.87
  4. Step 4: Simplify right side
    1,267.70x = 1,459,638.42
  5. Step 5: Solve for x
    x = 1,459,638.42/1,267.70
  6. Step 6: Final answer
    x = 1,151.41

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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.