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Finding the Fourth Proportional to 696.10, 960.78 and 460.09

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Solution

The fourth proportional to 696.10, 960.78 and 460.09 is: 635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.10 : 960.78 = 460.09 : x
  2. Step 2: Convert to fraction form
    696.10/960.78 = 460.09/x
  3. Step 3: Cross multiply
    696.10x = 960.78 × 460.09
  4. Step 4: Simplify right side
    696.10x = 442,045.27
  5. Step 5: Solve for x
    x = 442,045.27/696.10
  6. Step 6: Final answer
    x = 635.03

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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.