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Finding the Fourth Proportional to 694.08, 956.55 and 497.25

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Solution

The fourth proportional to 694.08, 956.55 and 497.25 is: 685.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.08 : 956.55 = 497.25 : x
  2. Step 2: Convert to fraction form
    694.08/956.55 = 497.25/x
  3. Step 3: Cross multiply
    694.08x = 956.55 × 497.25
  4. Step 4: Simplify right side
    694.08x = 475,644.49
  5. Step 5: Solve for x
    x = 475,644.49/694.08
  6. Step 6: Final answer
    x = 685.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.