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Finding the Fourth Proportional to 695.35, 958.86 and 562.44

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Solution

The fourth proportional to 695.35, 958.86 and 562.44 is: 775.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.35 : 958.86 = 562.44 : x
  2. Step 2: Convert to fraction form
    695.35/958.86 = 562.44/x
  3. Step 3: Cross multiply
    695.35x = 958.86 × 562.44
  4. Step 4: Simplify right side
    695.35x = 539,301.22
  5. Step 5: Solve for x
    x = 539,301.22/695.35
  6. Step 6: Final answer
    x = 775.58

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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.