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Finding the Fourth Proportional to 691.58, 953.43 and 494.75

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Solution

The fourth proportional to 691.58, 953.43 and 494.75 is: 682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.58 : 953.43 = 494.75 : x
  2. Step 2: Convert to fraction form
    691.58/953.43 = 494.75/x
  3. Step 3: Cross multiply
    691.58x = 953.43 × 494.75
  4. Step 4: Simplify right side
    691.58x = 471,709.49
  5. Step 5: Solve for x
    x = 471,709.49/691.58
  6. Step 6: Final answer
    x = 682.08

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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.