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Finding the Fourth Proportional to 865.94, 1,194.96 and 472.95

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Solution

The fourth proportional to 865.94, 1,194.96 and 472.95 is: 652.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.94 : 1,194.96 = 472.95 : x
  2. Step 2: Convert to fraction form
    865.94/1,194.96 = 472.95/x
  3. Step 3: Cross multiply
    865.94x = 1,194.96 × 472.95
  4. Step 4: Simplify right side
    865.94x = 565,156.33
  5. Step 5: Solve for x
    x = 565,156.33/865.94
  6. Step 6: Final answer
    x = 652.65

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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.