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Finding the Fourth Proportional to 797.54, 1,100.63 and 465.85

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Solution

The fourth proportional to 797.54, 1,100.63 and 465.85 is: 642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.54 : 1,100.63 = 465.85 : x
  2. Step 2: Convert to fraction form
    797.54/1,100.63 = 465.85/x
  3. Step 3: Cross multiply
    797.54x = 1,100.63 × 465.85
  4. Step 4: Simplify right side
    797.54x = 512,723.40
  5. Step 5: Solve for x
    x = 512,723.40/797.54
  6. Step 6: Final answer
    x = 642.88

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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.