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Finding the Fourth Proportional to 802.12, 1,205.21 and 769.72

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Solution

The fourth proportional to 802.12, 1,205.21 and 769.72 is: 1,156.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.12 : 1,205.21 = 769.72 : x
  2. Step 2: Convert to fraction form
    802.12/1,205.21 = 769.72/x
  3. Step 3: Cross multiply
    802.12x = 1,205.21 × 769.72
  4. Step 4: Simplify right side
    802.12x = 927,674.24
  5. Step 5: Solve for x
    x = 927,674.24/802.12
  6. Step 6: Final answer
    x = 1,156.53

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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.