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Finding the Fourth Proportional to 1,287.24, 1,776.38 and 697.78

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Solution

The fourth proportional to 1,287.24, 1,776.38 and 697.78 is: 962.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.24 : 1,776.38 = 697.78 : x
  2. Step 2: Convert to fraction form
    1,287.24/1,776.38 = 697.78/x
  3. Step 3: Cross multiply
    1,287.24x = 1,776.38 × 697.78
  4. Step 4: Simplify right side
    1,287.24x = 1,239,522.44
  5. Step 5: Solve for x
    x = 1,239,522.44/1,287.24
  6. Step 6: Final answer
    x = 962.93

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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.