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Finding the Fourth Proportional to 797.25, 1,100.06 and 465.69

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Solution

The fourth proportional to 797.25, 1,100.06 and 465.69 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.25 : 1,100.06 = 465.69 : x
  2. Step 2: Convert to fraction form
    797.25/1,100.06 = 465.69/x
  3. Step 3: Cross multiply
    797.25x = 1,100.06 × 465.69
  4. Step 4: Simplify right side
    797.25x = 512,287.36
  5. Step 5: Solve for x
    x = 512,287.36/797.25
  6. Step 6: Final answer
    x = 642.57

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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.