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Finding the Fourth Proportional to 691.68, 954.68 and 443.22

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Solution

The fourth proportional to 691.68, 954.68 and 443.22 is: 611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.68 : 954.68 = 443.22 : x
  2. Step 2: Convert to fraction form
    691.68/954.68 = 443.22/x
  3. Step 3: Cross multiply
    691.68x = 954.68 × 443.22
  4. Step 4: Simplify right side
    691.68x = 423,133.27
  5. Step 5: Solve for x
    x = 423,133.27/691.68
  6. Step 6: Final answer
    x = 611.75

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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.