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Finding the Fourth Proportional to 865.09, 1,193.64 and 511.06

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Solution

The fourth proportional to 865.09, 1,193.64 and 511.06 is: 705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.09 : 1,193.64 = 511.06 : x
  2. Step 2: Convert to fraction form
    865.09/1,193.64 = 511.06/x
  3. Step 3: Cross multiply
    865.09x = 1,193.64 × 511.06
  4. Step 4: Simplify right side
    865.09x = 610,021.66
  5. Step 5: Solve for x
    x = 610,021.66/865.09
  6. Step 6: Final answer
    x = 705.15

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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.