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Finding the Fourth Proportional to 865.54, 1,194.46 and 472.58

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Solution

The fourth proportional to 865.54, 1,194.46 and 472.58 is: 652.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.54 : 1,194.46 = 472.58 : x
  2. Step 2: Convert to fraction form
    865.54/1,194.46 = 472.58/x
  3. Step 3: Cross multiply
    865.54x = 1,194.46 × 472.58
  4. Step 4: Simplify right side
    865.54x = 564,477.91
  5. Step 5: Solve for x
    x = 564,477.91/865.54
  6. Step 6: Final answer
    x = 652.17

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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.