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Finding the Fourth Proportional to 809.94, 1,117.92 and 460.83

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Solution

The fourth proportional to 809.94, 1,117.92 and 460.83 is: 636.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.94 : 1,117.92 = 460.83 : x
  2. Step 2: Convert to fraction form
    809.94/1,117.92 = 460.83/x
  3. Step 3: Cross multiply
    809.94x = 1,117.92 × 460.83
  4. Step 4: Simplify right side
    809.94x = 515,168.77
  5. Step 5: Solve for x
    x = 515,168.77/809.94
  6. Step 6: Final answer
    x = 636.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.