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Finding the Fourth Proportional to 809.91, 1,117.72 and 455.81

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Solution

The fourth proportional to 809.91, 1,117.72 and 455.81 is: 629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.91 : 1,117.72 = 455.81 : x
  2. Step 2: Convert to fraction form
    809.91/1,117.72 = 455.81/x
  3. Step 3: Cross multiply
    809.91x = 1,117.72 × 455.81
  4. Step 4: Simplify right side
    809.91x = 509,462.93
  5. Step 5: Solve for x
    x = 509,462.93/809.91
  6. Step 6: Final answer
    x = 629.04

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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.