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Finding the Fourth Proportional to 695.52, 959.69 and 471.54

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Solution

The fourth proportional to 695.52, 959.69 and 471.54 is: 650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 959.69 = 471.54 : x
  2. Step 2: Convert to fraction form
    695.52/959.69 = 471.54/x
  3. Step 3: Cross multiply
    695.52x = 959.69 × 471.54
  4. Step 4: Simplify right side
    695.52x = 452,532.22
  5. Step 5: Solve for x
    x = 452,532.22/695.52
  6. Step 6: Final answer
    x = 650.64

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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.