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Finding the Fourth Proportional to 802.86, 1,207.26 and 773.70

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Solution

The fourth proportional to 802.86, 1,207.26 and 773.70 is: 1,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.86 : 1,207.26 = 773.70 : x
  2. Step 2: Convert to fraction form
    802.86/1,207.26 = 773.70/x
  3. Step 3: Cross multiply
    802.86x = 1,207.26 × 773.70
  4. Step 4: Simplify right side
    802.86x = 934,057.06
  5. Step 5: Solve for x
    x = 934,057.06/802.86
  6. Step 6: Final answer
    x = 1,163.41

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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.