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Finding the Fourth Proportional to 797.88, 1,102.50 and 624.54

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Solution

The fourth proportional to 797.88, 1,102.50 and 624.54 is: 862.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.88 : 1,102.50 = 624.54 : x
  2. Step 2: Convert to fraction form
    797.88/1,102.50 = 624.54/x
  3. Step 3: Cross multiply
    797.88x = 1,102.50 × 624.54
  4. Step 4: Simplify right side
    797.88x = 688,555.35
  5. Step 5: Solve for x
    x = 688,555.35/797.88
  6. Step 6: Final answer
    x = 862.98

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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.