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Finding the Fourth Proportional to 804.54, 1,108.71 and 571.26

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Solution

The fourth proportional to 804.54, 1,108.71 and 571.26 is: 787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.54 : 1,108.71 = 571.26 : x
  2. Step 2: Convert to fraction form
    804.54/1,108.71 = 571.26/x
  3. Step 3: Cross multiply
    804.54x = 1,108.71 × 571.26
  4. Step 4: Simplify right side
    804.54x = 633,361.67
  5. Step 5: Solve for x
    x = 633,361.67/804.54
  6. Step 6: Final answer
    x = 787.23

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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.