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Finding the Fourth Proportional to 850.72, 1,267.68 and 802.12

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Solution

The fourth proportional to 850.72, 1,267.68 and 802.12 is: 1,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.72 : 1,267.68 = 802.12 : x
  2. Step 2: Convert to fraction form
    850.72/1,267.68 = 802.12/x
  3. Step 3: Cross multiply
    850.72x = 1,267.68 × 802.12
  4. Step 4: Simplify right side
    850.72x = 1,016,831.48
  5. Step 5: Solve for x
    x = 1,016,831.48/850.72
  6. Step 6: Final answer
    x = 1,195.26

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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.