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Finding the Fourth Proportional to 865.32, 1,194.06 and 511.20

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Solution

The fourth proportional to 865.32, 1,194.06 and 511.20 is: 705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.32 : 1,194.06 = 511.20 : x
  2. Step 2: Convert to fraction form
    865.32/1,194.06 = 511.20/x
  3. Step 3: Cross multiply
    865.32x = 1,194.06 × 511.20
  4. Step 4: Simplify right side
    865.32x = 610,403.47
  5. Step 5: Solve for x
    x = 610,403.47/865.32
  6. Step 6: Final answer
    x = 705.41

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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.