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Finding the Fourth Proportional to 797.76, 1,100.93 and 443.68

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Solution

The fourth proportional to 797.76, 1,100.93 and 443.68 is: 612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.76 : 1,100.93 = 443.68 : x
  2. Step 2: Convert to fraction form
    797.76/1,100.93 = 443.68/x
  3. Step 3: Cross multiply
    797.76x = 1,100.93 × 443.68
  4. Step 4: Simplify right side
    797.76x = 488,455.65
  5. Step 5: Solve for x
    x = 488,455.65/797.76
  6. Step 6: Final answer
    x = 612.28

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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.