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Finding the Fourth Proportional to 735.92, 1,014.44 and 625.04

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Solution

The fourth proportional to 735.92, 1,014.44 and 625.04 is: 861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.92 : 1,014.44 = 625.04 : x
  2. Step 2: Convert to fraction form
    735.92/1,014.44 = 625.04/x
  3. Step 3: Cross multiply
    735.92x = 1,014.44 × 625.04
  4. Step 4: Simplify right side
    735.92x = 634,065.58
  5. Step 5: Solve for x
    x = 634,065.58/735.92
  6. Step 6: Final answer
    x = 861.60

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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.