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Finding the Fourth Proportional to 695.52, 960.12 and 460.08

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Solution

The fourth proportional to 695.52, 960.12 and 460.08 is: 635.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 960.12 = 460.08 : x
  2. Step 2: Convert to fraction form
    695.52/960.12 = 460.08/x
  3. Step 3: Cross multiply
    695.52x = 960.12 × 460.08
  4. Step 4: Simplify right side
    695.52x = 441,732.01
  5. Step 5: Solve for x
    x = 441,732.01/695.52
  6. Step 6: Final answer
    x = 635.11

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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.