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Finding the Fourth Proportional to 1,267.65, 1,748.79 and 736.29

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Solution

The fourth proportional to 1,267.65, 1,748.79 and 736.29 is: 1,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.65 : 1,748.79 = 736.29 : x
  2. Step 2: Convert to fraction form
    1,267.65/1,748.79 = 736.29/x
  3. Step 3: Cross multiply
    1,267.65x = 1,748.79 × 736.29
  4. Step 4: Simplify right side
    1,267.65x = 1,287,616.59
  5. Step 5: Solve for x
    x = 1,287,616.59/1,267.65
  6. Step 6: Final answer
    x = 1,015.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.