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Finding the Fourth Proportional to 797.55, 1,100.34 and 465.90

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Solution

The fourth proportional to 797.55, 1,100.34 and 465.90 is: 642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.55 : 1,100.34 = 465.90 : x
  2. Step 2: Convert to fraction form
    797.55/1,100.34 = 465.90/x
  3. Step 3: Cross multiply
    797.55x = 1,100.34 × 465.90
  4. Step 4: Simplify right side
    797.55x = 512,648.41
  5. Step 5: Solve for x
    x = 512,648.41/797.55
  6. Step 6: Final answer
    x = 642.78

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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.