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Finding the Fourth Proportional to 984.92, 1,477.49 and 568.64

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Solution

The fourth proportional to 984.92, 1,477.49 and 568.64 is: 853.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.92 : 1,477.49 = 568.64 : x
  2. Step 2: Convert to fraction form
    984.92/1,477.49 = 568.64/x
  3. Step 3: Cross multiply
    984.92x = 1,477.49 × 568.64
  4. Step 4: Simplify right side
    984.92x = 840,160.76
  5. Step 5: Solve for x
    x = 840,160.76/984.92
  6. Step 6: Final answer
    x = 853.03

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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.