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Finding the Fourth Proportional to 865.10, 1,193.82 and 511.23

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Solution

The fourth proportional to 865.10, 1,193.82 and 511.23 is: 705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.10 : 1,193.82 = 511.23 : x
  2. Step 2: Convert to fraction form
    865.10/1,193.82 = 511.23/x
  3. Step 3: Cross multiply
    865.10x = 1,193.82 × 511.23
  4. Step 4: Simplify right side
    865.10x = 610,316.60
  5. Step 5: Solve for x
    x = 610,316.60/865.10
  6. Step 6: Final answer
    x = 705.49

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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.