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Finding the Fourth Proportional to 802.37, 1,205.59 and 769.97

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Solution

The fourth proportional to 802.37, 1,205.59 and 769.97 is: 1,156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.37 : 1,205.59 = 769.97 : x
  2. Step 2: Convert to fraction form
    802.37/1,205.59 = 769.97/x
  3. Step 3: Cross multiply
    802.37x = 1,205.59 × 769.97
  4. Step 4: Simplify right side
    802.37x = 928,264.28
  5. Step 5: Solve for x
    x = 928,264.28/802.37
  6. Step 6: Final answer
    x = 1,156.90

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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.