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Finding the Fourth Proportional to 984.97, 1,477.18 and 291.61

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Solution

The fourth proportional to 984.97, 1,477.18 and 291.61 is: 437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.97 : 1,477.18 = 291.61 : x
  2. Step 2: Convert to fraction form
    984.97/1,477.18 = 291.61/x
  3. Step 3: Cross multiply
    984.97x = 1,477.18 × 291.61
  4. Step 4: Simplify right side
    984.97x = 430,760.46
  5. Step 5: Solve for x
    x = 430,760.46/984.97
  6. Step 6: Final answer
    x = 437.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.