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Finding the Fourth Proportional to 797.61, 1,100.70 and 465.97

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Solution

The fourth proportional to 797.61, 1,100.70 and 465.97 is: 643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.61 : 1,100.70 = 465.97 : x
  2. Step 2: Convert to fraction form
    797.61/1,100.70 = 465.97/x
  3. Step 3: Cross multiply
    797.61x = 1,100.70 × 465.97
  4. Step 4: Simplify right side
    797.61x = 512,893.18
  5. Step 5: Solve for x
    x = 512,893.18/797.61
  6. Step 6: Final answer
    x = 643.04

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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.