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Finding the Fourth Proportional to 802.84, 1,196.77 and 771.28

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Solution

The fourth proportional to 802.84, 1,196.77 and 771.28 is: 1,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.84 : 1,196.77 = 771.28 : x
  2. Step 2: Convert to fraction form
    802.84/1,196.77 = 771.28/x
  3. Step 3: Cross multiply
    802.84x = 1,196.77 × 771.28
  4. Step 4: Simplify right side
    802.84x = 923,044.77
  5. Step 5: Solve for x
    x = 923,044.77/802.84
  6. Step 6: Final answer
    x = 1,149.72

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Why These Related Problems?

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