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Finding the Fourth Proportional to 797.61, 1,100.67 and 466.22

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Solution

The fourth proportional to 797.61, 1,100.67 and 466.22 is: 643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.61 : 1,100.67 = 466.22 : x
  2. Step 2: Convert to fraction form
    797.61/1,100.67 = 466.22/x
  3. Step 3: Cross multiply
    797.61x = 1,100.67 × 466.22
  4. Step 4: Simplify right side
    797.61x = 513,148.86
  5. Step 5: Solve for x
    x = 513,148.86/797.61
  6. Step 6: Final answer
    x = 643.36

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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.