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Finding the Fourth Proportional to 802.87, 1,202.41 and 628.31

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Solution

The fourth proportional to 802.87, 1,202.41 and 628.31 is: 940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.87 : 1,202.41 = 628.31 : x
  2. Step 2: Convert to fraction form
    802.87/1,202.41 = 628.31/x
  3. Step 3: Cross multiply
    802.87x = 1,202.41 × 628.31
  4. Step 4: Simplify right side
    802.87x = 755,483.09
  5. Step 5: Solve for x
    x = 755,483.09/802.87
  6. Step 6: Final answer
    x = 940.98

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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.