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Finding the Fourth Proportional to 802.16, 1,201.21 and 671.84

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Solution

The fourth proportional to 802.16, 1,201.21 and 671.84 is: 1,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.16 : 1,201.21 = 671.84 : x
  2. Step 2: Convert to fraction form
    802.16/1,201.21 = 671.84/x
  3. Step 3: Cross multiply
    802.16x = 1,201.21 × 671.84
  4. Step 4: Simplify right side
    802.16x = 807,013.24
  5. Step 5: Solve for x
    x = 807,013.24/802.16
  6. Step 6: Final answer
    x = 1,006.06

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Why These Related Problems?

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