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Finding the Fourth Proportional to 797.03, 1,099.89 and 442.95

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Solution

The fourth proportional to 797.03, 1,099.89 and 442.95 is: 611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.03 : 1,099.89 = 442.95 : x
  2. Step 2: Convert to fraction form
    797.03/1,099.89 = 442.95/x
  3. Step 3: Cross multiply
    797.03x = 1,099.89 × 442.95
  4. Step 4: Simplify right side
    797.03x = 487,196.28
  5. Step 5: Solve for x
    x = 487,196.28/797.03
  6. Step 6: Final answer
    x = 611.26

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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.