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Finding the Fourth Proportional to 695.58, 959.22 and 590.55

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Solution

The fourth proportional to 695.58, 959.22 and 590.55 is: 814.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.58 : 959.22 = 590.55 : x
  2. Step 2: Convert to fraction form
    695.58/959.22 = 590.55/x
  3. Step 3: Cross multiply
    695.58x = 959.22 × 590.55
  4. Step 4: Simplify right side
    695.58x = 566,467.37
  5. Step 5: Solve for x
    x = 566,467.37/695.58
  6. Step 6: Final answer
    x = 814.38

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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.