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Finding the Fourth Proportional to 728.76, 1,004.10 and 610.32

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Solution

The fourth proportional to 728.76, 1,004.10 and 610.32 is: 840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.76 : 1,004.10 = 610.32 : x
  2. Step 2: Convert to fraction form
    728.76/1,004.10 = 610.32/x
  3. Step 3: Cross multiply
    728.76x = 1,004.10 × 610.32
  4. Step 4: Simplify right side
    728.76x = 612,822.31
  5. Step 5: Solve for x
    x = 612,822.31/728.76
  6. Step 6: Final answer
    x = 840.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.