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Finding the Fourth Proportional to 865.86, 1,298.82 and 852.12

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Solution

The fourth proportional to 865.86, 1,298.82 and 852.12 is: 1,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.86 : 1,298.82 = 852.12 : x
  2. Step 2: Convert to fraction form
    865.86/1,298.82 = 852.12/x
  3. Step 3: Cross multiply
    865.86x = 1,298.82 × 852.12
  4. Step 4: Simplify right side
    865.86x = 1,106,750.50
  5. Step 5: Solve for x
    x = 1,106,750.50/865.86
  6. Step 6: Final answer
    x = 1,278.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.