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Finding the Fourth Proportional to 865.50, 1,194.40 and 511.44

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Solution

The fourth proportional to 865.50, 1,194.40 and 511.44 is: 705.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.50 : 1,194.40 = 511.44 : x
  2. Step 2: Convert to fraction form
    865.50/1,194.40 = 511.44/x
  3. Step 3: Cross multiply
    865.50x = 1,194.40 × 511.44
  4. Step 4: Simplify right side
    865.50x = 610,863.94
  5. Step 5: Solve for x
    x = 610,863.94/865.50
  6. Step 6: Final answer
    x = 705.79

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1.5x scale

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.