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Finding the Fourth Proportional to 714.73, 1,072.10 and 571.36

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Solution

The fourth proportional to 714.73, 1,072.10 and 571.36 is: 857.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.73 : 1,072.10 = 571.36 : x
  2. Step 2: Convert to fraction form
    714.73/1,072.10 = 571.36/x
  3. Step 3: Cross multiply
    714.73x = 1,072.10 × 571.36
  4. Step 4: Simplify right side
    714.73x = 612,555.06
  5. Step 5: Solve for x
    x = 612,555.06/714.73
  6. Step 6: Final answer
    x = 857.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.