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Finding the Fourth Proportional to 977.92, 1,467.08 and 567.16

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Solution

The fourth proportional to 977.92, 1,467.08 and 567.16 is: 850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.92 : 1,467.08 = 567.16 : x
  2. Step 2: Convert to fraction form
    977.92/1,467.08 = 567.16/x
  3. Step 3: Cross multiply
    977.92x = 1,467.08 × 567.16
  4. Step 4: Simplify right side
    977.92x = 832,069.09
  5. Step 5: Solve for x
    x = 832,069.09/977.92
  6. Step 6: Final answer
    x = 850.86

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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.