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Finding the Fourth Proportional to 871.88, 1,202.04 and 647.09

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Solution

The fourth proportional to 871.88, 1,202.04 and 647.09 is: 892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.88 : 1,202.04 = 647.09 : x
  2. Step 2: Convert to fraction form
    871.88/1,202.04 = 647.09/x
  3. Step 3: Cross multiply
    871.88x = 1,202.04 × 647.09
  4. Step 4: Simplify right side
    871.88x = 777,828.06
  5. Step 5: Solve for x
    x = 777,828.06/871.88
  6. Step 6: Final answer
    x = 892.13

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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.