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Finding the Fourth Proportional to 696.26, 960.84 and 401.63

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Solution

The fourth proportional to 696.26, 960.84 and 401.63 is: 554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.26 : 960.84 = 401.63 : x
  2. Step 2: Convert to fraction form
    696.26/960.84 = 401.63/x
  3. Step 3: Cross multiply
    696.26x = 960.84 × 401.63
  4. Step 4: Simplify right side
    696.26x = 385,897.37
  5. Step 5: Solve for x
    x = 385,897.37/696.26
  6. Step 6: Final answer
    x = 554.25

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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.