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Finding the Fourth Proportional to 810.71, 1,118.80 and 495.97

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Solution

The fourth proportional to 810.71, 1,118.80 and 495.97 is: 684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.71 : 1,118.80 = 495.97 : x
  2. Step 2: Convert to fraction form
    810.71/1,118.80 = 495.97/x
  3. Step 3: Cross multiply
    810.71x = 1,118.80 × 495.97
  4. Step 4: Simplify right side
    810.71x = 554,887.57
  5. Step 5: Solve for x
    x = 554,887.57/810.71
  6. Step 6: Final answer
    x = 684.45

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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.