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Finding the Fourth Proportional to 812.04, 1,120.68 and 701.88

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Solution

The fourth proportional to 812.04, 1,120.68 and 701.88 is: 968.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.04 : 1,120.68 = 701.88 : x
  2. Step 2: Convert to fraction form
    812.04/1,120.68 = 701.88/x
  3. Step 3: Cross multiply
    812.04x = 1,120.68 × 701.88
  4. Step 4: Simplify right side
    812.04x = 786,582.88
  5. Step 5: Solve for x
    x = 786,582.88/812.04
  6. Step 6: Final answer
    x = 968.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.