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Finding the Fourth Proportional to 809.81, 1,117.08 and 561.27

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Solution

The fourth proportional to 809.81, 1,117.08 and 561.27 is: 774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.81 : 1,117.08 = 561.27 : x
  2. Step 2: Convert to fraction form
    809.81/1,117.08 = 561.27/x
  3. Step 3: Cross multiply
    809.81x = 1,117.08 × 561.27
  4. Step 4: Simplify right side
    809.81x = 626,983.49
  5. Step 5: Solve for x
    x = 626,983.49/809.81
  6. Step 6: Final answer
    x = 774.24

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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.