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Finding the Fourth Proportional to 1,267.64, 1,748.49 and 769.94

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Solution

The fourth proportional to 1,267.64, 1,748.49 and 769.94 is: 1,062.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.64 : 1,748.49 = 769.94 : x
  2. Step 2: Convert to fraction form
    1,267.64/1,748.49 = 769.94/x
  3. Step 3: Cross multiply
    1,267.64x = 1,748.49 × 769.94
  4. Step 4: Simplify right side
    1,267.64x = 1,346,232.39
  5. Step 5: Solve for x
    x = 1,346,232.39/1,267.64
  6. Step 6: Final answer
    x = 1,062.00

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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.