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Finding the Fourth Proportional to 696.80, 960.48 and 519.68

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Solution

The fourth proportional to 696.80, 960.48 and 519.68 is: 716.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.80 : 960.48 = 519.68 : x
  2. Step 2: Convert to fraction form
    696.80/960.48 = 519.68/x
  3. Step 3: Cross multiply
    696.80x = 960.48 × 519.68
  4. Step 4: Simplify right side
    696.80x = 499,142.25
  5. Step 5: Solve for x
    x = 499,142.25/696.80
  6. Step 6: Final answer
    x = 716.34

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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.