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Finding the Fourth Proportional to 910.44, 1,255.77 and 578.95

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Solution

The fourth proportional to 910.44, 1,255.77 and 578.95 is: 798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.44 : 1,255.77 = 578.95 : x
  2. Step 2: Convert to fraction form
    910.44/1,255.77 = 578.95/x
  3. Step 3: Cross multiply
    910.44x = 1,255.77 × 578.95
  4. Step 4: Simplify right side
    910.44x = 727,024.90
  5. Step 5: Solve for x
    x = 727,024.90/910.44
  6. Step 6: Final answer
    x = 798.54

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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.