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Finding the Fourth Proportional to 1,287.14, 1,776.25 and 697.68

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Solution

The fourth proportional to 1,287.14, 1,776.25 and 697.68 is: 962.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.14 : 1,776.25 = 697.68 : x
  2. Step 2: Convert to fraction form
    1,287.14/1,776.25 = 697.68/x
  3. Step 3: Cross multiply
    1,287.14x = 1,776.25 × 697.68
  4. Step 4: Simplify right side
    1,287.14x = 1,239,249.44
  5. Step 5: Solve for x
    x = 1,239,249.44/1,287.14
  6. Step 6: Final answer
    x = 962.79

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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.