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Finding the Fourth Proportional to 1,287.27, 1,776.42 and 697.80

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Solution

The fourth proportional to 1,287.27, 1,776.42 and 697.80 is: 962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.27 : 1,776.42 = 697.80 : x
  2. Step 2: Convert to fraction form
    1,287.27/1,776.42 = 697.80/x
  3. Step 3: Cross multiply
    1,287.27x = 1,776.42 × 697.80
  4. Step 4: Simplify right side
    1,287.27x = 1,239,585.88
  5. Step 5: Solve for x
    x = 1,239,585.88/1,287.27
  6. Step 6: Final answer
    x = 962.96

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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.