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Finding the Fourth Proportional to 696.28, 960.06 and 564.88

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Solution

The fourth proportional to 696.28, 960.06 and 564.88 is: 778.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.28 : 960.06 = 564.88 : x
  2. Step 2: Convert to fraction form
    696.28/960.06 = 564.88/x
  3. Step 3: Cross multiply
    696.28x = 960.06 × 564.88
  4. Step 4: Simplify right side
    696.28x = 542,318.69
  5. Step 5: Solve for x
    x = 542,318.69/696.28
  6. Step 6: Final answer
    x = 778.88

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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.