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Finding the Fourth Proportional to 1,267.02, 1,748.30 and 769.40

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Solution

The fourth proportional to 1,267.02, 1,748.30 and 769.40 is: 1,061.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.02 : 1,748.30 = 769.40 : x
  2. Step 2: Convert to fraction form
    1,267.02/1,748.30 = 769.40/x
  3. Step 3: Cross multiply
    1,267.02x = 1,748.30 × 769.40
  4. Step 4: Simplify right side
    1,267.02x = 1,345,142.02
  5. Step 5: Solve for x
    x = 1,345,142.02/1,267.02
  6. Step 6: Final answer
    x = 1,061.66

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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.