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Finding the Fourth Proportional to 823.14, 1,233.48 and 802.76

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Solution

The fourth proportional to 823.14, 1,233.48 and 802.76 is: 1,202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.14 : 1,233.48 = 802.76 : x
  2. Step 2: Convert to fraction form
    823.14/1,233.48 = 802.76/x
  3. Step 3: Cross multiply
    823.14x = 1,233.48 × 802.76
  4. Step 4: Simplify right side
    823.14x = 990,182.24
  5. Step 5: Solve for x
    x = 990,182.24/823.14
  6. Step 6: Final answer
    x = 1,202.93

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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.