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Finding the Fourth Proportional to 809.06, 1,116.63 and 477.77

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Solution

The fourth proportional to 809.06, 1,116.63 and 477.77 is: 659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.06 : 1,116.63 = 477.77 : x
  2. Step 2: Convert to fraction form
    809.06/1,116.63 = 477.77/x
  3. Step 3: Cross multiply
    809.06x = 1,116.63 × 477.77
  4. Step 4: Simplify right side
    809.06x = 533,486.73
  5. Step 5: Solve for x
    x = 533,486.73/809.06
  6. Step 6: Final answer
    x = 659.39

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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.