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Finding the Fourth Proportional to 1,285.22, 1,772.79 and 760.88

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Solution

The fourth proportional to 1,285.22, 1,772.79 and 760.88 is: 1,049.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.22 : 1,772.79 = 760.88 : x
  2. Step 2: Convert to fraction form
    1,285.22/1,772.79 = 760.88/x
  3. Step 3: Cross multiply
    1,285.22x = 1,772.79 × 760.88
  4. Step 4: Simplify right side
    1,285.22x = 1,348,871.59
  5. Step 5: Solve for x
    x = 1,348,871.59/1,285.22
  6. Step 6: Final answer
    x = 1,049.53

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1.5x scale

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.