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Finding the Fourth Proportional to 691.66, 954.47 and 376.92

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Solution

The fourth proportional to 691.66, 954.47 and 376.92 is: 520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.66 : 954.47 = 376.92 : x
  2. Step 2: Convert to fraction form
    691.66/954.47 = 376.92/x
  3. Step 3: Cross multiply
    691.66x = 954.47 × 376.92
  4. Step 4: Simplify right side
    691.66x = 359,757.65
  5. Step 5: Solve for x
    x = 359,757.65/691.66
  6. Step 6: Final answer
    x = 520.14

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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.