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Finding the Fourth Proportional to 809.22, 1,116.75 and 477.63

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Solution

The fourth proportional to 809.22, 1,116.75 and 477.63 is: 659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.22 : 1,116.75 = 477.63 : x
  2. Step 2: Convert to fraction form
    809.22/1,116.75 = 477.63/x
  3. Step 3: Cross multiply
    809.22x = 1,116.75 × 477.63
  4. Step 4: Simplify right side
    809.22x = 533,393.30
  5. Step 5: Solve for x
    x = 533,393.30/809.22
  6. Step 6: Final answer
    x = 659.14

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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.