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Finding the Fourth Proportional to 928.44, 1,280.53 and 648.59

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Solution

The fourth proportional to 928.44, 1,280.53 and 648.59 is: 894.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.44 : 1,280.53 = 648.59 : x
  2. Step 2: Convert to fraction form
    928.44/1,280.53 = 648.59/x
  3. Step 3: Cross multiply
    928.44x = 1,280.53 × 648.59
  4. Step 4: Simplify right side
    928.44x = 830,538.95
  5. Step 5: Solve for x
    x = 830,538.95/928.44
  6. Step 6: Final answer
    x = 894.55

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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.