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Finding the Fourth Proportional to 798.86, 1,100.22 and 688.30

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Solution

The fourth proportional to 798.86, 1,100.22 and 688.30 is: 947.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.86 : 1,100.22 = 688.30 : x
  2. Step 2: Convert to fraction form
    798.86/1,100.22 = 688.30/x
  3. Step 3: Cross multiply
    798.86x = 1,100.22 × 688.30
  4. Step 4: Simplify right side
    798.86x = 757,281.43
  5. Step 5: Solve for x
    x = 757,281.43/798.86
  6. Step 6: Final answer
    x = 947.95

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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.