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Finding the Fourth Proportional to 797.90, 1,099.94 and 564.62

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Solution

The fourth proportional to 797.90, 1,099.94 and 564.62 is: 778.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.90 : 1,099.94 = 564.62 : x
  2. Step 2: Convert to fraction form
    797.90/1,099.94 = 564.62/x
  3. Step 3: Cross multiply
    797.90x = 1,099.94 × 564.62
  4. Step 4: Simplify right side
    797.90x = 621,048.12
  5. Step 5: Solve for x
    x = 621,048.12/797.90
  6. Step 6: Final answer
    x = 778.35

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Why These Related Problems?

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