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Finding the Fourth Proportional to 865.84, 1,194.78 and 511.89

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Solution

The fourth proportional to 865.84, 1,194.78 and 511.89 is: 706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.84 : 1,194.78 = 511.89 : x
  2. Step 2: Convert to fraction form
    865.84/1,194.78 = 511.89/x
  3. Step 3: Cross multiply
    865.84x = 1,194.78 × 511.89
  4. Step 4: Simplify right side
    865.84x = 611,599.14
  5. Step 5: Solve for x
    x = 611,599.14/865.84
  6. Step 6: Final answer
    x = 706.37

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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.