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Finding the Fourth Proportional to 696.68, 960.62 and 521.72

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Solution

The fourth proportional to 696.68, 960.62 and 521.72 is: 719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.68 : 960.62 = 521.72 : x
  2. Step 2: Convert to fraction form
    696.68/960.62 = 521.72/x
  3. Step 3: Cross multiply
    696.68x = 960.62 × 521.72
  4. Step 4: Simplify right side
    696.68x = 501,174.67
  5. Step 5: Solve for x
    x = 501,174.67/696.68
  6. Step 6: Final answer
    x = 719.38

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Half scale
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Double scale
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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.