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Finding the Fourth Proportional to 865.72, 1,193.70 and 643.96

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Solution

The fourth proportional to 865.72, 1,193.70 and 643.96 is: 887.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,193.70 = 643.96 : x
  2. Step 2: Convert to fraction form
    865.72/1,193.70 = 643.96/x
  3. Step 3: Cross multiply
    865.72x = 1,193.70 × 643.96
  4. Step 4: Simplify right side
    865.72x = 768,695.05
  5. Step 5: Solve for x
    x = 768,695.05/865.72
  6. Step 6: Final answer
    x = 887.93

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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.