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Finding the Fourth Proportional to 695.52, 958.95 and 508.86

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Solution

The fourth proportional to 695.52, 958.95 and 508.86 is: 701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.52 : 958.95 = 508.86 : x
  2. Step 2: Convert to fraction form
    695.52/958.95 = 508.86/x
  3. Step 3: Cross multiply
    695.52x = 958.95 × 508.86
  4. Step 4: Simplify right side
    695.52x = 487,971.30
  5. Step 5: Solve for x
    x = 487,971.30/695.52
  6. Step 6: Final answer
    x = 701.59

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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.