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Finding the Fourth Proportional to 694.52, 957.96 and 508.56

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Solution

The fourth proportional to 694.52, 957.96 and 508.56 is: 701.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.52 : 957.96 = 508.56 : x
  2. Step 2: Convert to fraction form
    694.52/957.96 = 508.56/x
  3. Step 3: Cross multiply
    694.52x = 957.96 × 508.56
  4. Step 4: Simplify right side
    694.52x = 487,180.14
  5. Step 5: Solve for x
    x = 487,180.14/694.52
  6. Step 6: Final answer
    x = 701.46

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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.