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Finding the Fourth Proportional to 797.79, 1,100.97 and 466.10

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Solution

The fourth proportional to 797.79, 1,100.97 and 466.10 is: 643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.79 : 1,100.97 = 466.10 : x
  2. Step 2: Convert to fraction form
    797.79/1,100.97 = 466.10/x
  3. Step 3: Cross multiply
    797.79x = 1,100.97 × 466.10
  4. Step 4: Simplify right side
    797.79x = 513,162.12
  5. Step 5: Solve for x
    x = 513,162.12/797.79
  6. Step 6: Final answer
    x = 643.23

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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.