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Finding the Fourth Proportional to 1,267.16, 1,748.36 and 769.81

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Solution

The fourth proportional to 1,267.16, 1,748.36 and 769.81 is: 1,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.16 : 1,748.36 = 769.81 : x
  2. Step 2: Convert to fraction form
    1,267.16/1,748.36 = 769.81/x
  3. Step 3: Cross multiply
    1,267.16x = 1,748.36 × 769.81
  4. Step 4: Simplify right side
    1,267.16x = 1,345,896.79
  5. Step 5: Solve for x
    x = 1,345,896.79/1,267.16
  6. Step 6: Final answer
    x = 1,062.13

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Why These Related Problems?

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