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Finding the Fourth Proportional to 865.17, 1,195.24 and 567.12

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Solution

The fourth proportional to 865.17, 1,195.24 and 567.12 is: 783.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.17 : 1,195.24 = 567.12 : x
  2. Step 2: Convert to fraction form
    865.17/1,195.24 = 567.12/x
  3. Step 3: Cross multiply
    865.17x = 1,195.24 × 567.12
  4. Step 4: Simplify right side
    865.17x = 677,848.64
  5. Step 5: Solve for x
    x = 677,848.64/865.17
  6. Step 6: Final answer
    x = 783.49

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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.