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Finding the Fourth Proportional to 865.26, 1,194.03 and 511.16

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Solution

The fourth proportional to 865.26, 1,194.03 and 511.16 is: 705.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.26 : 1,194.03 = 511.16 : x
  2. Step 2: Convert to fraction form
    865.26/1,194.03 = 511.16/x
  3. Step 3: Cross multiply
    865.26x = 1,194.03 × 511.16
  4. Step 4: Simplify right side
    865.26x = 610,334.40
  5. Step 5: Solve for x
    x = 610,334.40/865.26
  6. Step 6: Final answer
    x = 705.38

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Double scale
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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.