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Finding the Fourth Proportional to 797.63, 1,102.16 and 624.29

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Solution

The fourth proportional to 797.63, 1,102.16 and 624.29 is: 862.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.63 : 1,102.16 = 624.29 : x
  2. Step 2: Convert to fraction form
    797.63/1,102.16 = 624.29/x
  3. Step 3: Cross multiply
    797.63x = 1,102.16 × 624.29
  4. Step 4: Simplify right side
    797.63x = 688,067.47
  5. Step 5: Solve for x
    x = 688,067.47/797.63
  6. Step 6: Final answer
    x = 862.64

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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.