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Finding the Fourth Proportional to 730.78, 1,003.57 and 625.86

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Solution

The fourth proportional to 730.78, 1,003.57 and 625.86 is: 859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.78 : 1,003.57 = 625.86 : x
  2. Step 2: Convert to fraction form
    730.78/1,003.57 = 625.86/x
  3. Step 3: Cross multiply
    730.78x = 1,003.57 × 625.86
  4. Step 4: Simplify right side
    730.78x = 628,092.76
  5. Step 5: Solve for x
    x = 628,092.76/730.78
  6. Step 6: Final answer
    x = 859.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.