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Finding the Fourth Proportional to 1,284.24, 1,772.58 and 760.56

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Solution

The fourth proportional to 1,284.24, 1,772.58 and 760.56 is: 1,049.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.24 : 1,772.58 = 760.56 : x
  2. Step 2: Convert to fraction form
    1,284.24/1,772.58 = 760.56/x
  3. Step 3: Cross multiply
    1,284.24x = 1,772.58 × 760.56
  4. Step 4: Simplify right side
    1,284.24x = 1,348,153.44
  5. Step 5: Solve for x
    x = 1,348,153.44/1,284.24
  6. Step 6: Final answer
    x = 1,049.77

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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.