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Finding the Fourth Proportional to 865.08, 1,193.40 and 599.40

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Solution

The fourth proportional to 865.08, 1,193.40 and 599.40 is: 826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.08 : 1,193.40 = 599.40 : x
  2. Step 2: Convert to fraction form
    865.08/1,193.40 = 599.40/x
  3. Step 3: Cross multiply
    865.08x = 1,193.40 × 599.40
  4. Step 4: Simplify right side
    865.08x = 715,323.96
  5. Step 5: Solve for x
    x = 715,323.96/865.08
  6. Step 6: Final answer
    x = 826.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.