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Finding the Fourth Proportional to 802.88, 1,195.60 and 781.28

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Solution

The fourth proportional to 802.88, 1,195.60 and 781.28 is: 1,163.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.88 : 1,195.60 = 781.28 : x
  2. Step 2: Convert to fraction form
    802.88/1,195.60 = 781.28/x
  3. Step 3: Cross multiply
    802.88x = 1,195.60 × 781.28
  4. Step 4: Simplify right side
    802.88x = 934,098.37
  5. Step 5: Solve for x
    x = 934,098.37/802.88
  6. Step 6: Final answer
    x = 1,163.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.