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Finding the Fourth Proportional to 928.44, 1,280.88 and 613.32

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Solution

The fourth proportional to 928.44, 1,280.88 and 613.32 is: 846.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.44 : 1,280.88 = 613.32 : x
  2. Step 2: Convert to fraction form
    928.44/1,280.88 = 613.32/x
  3. Step 3: Cross multiply
    928.44x = 1,280.88 × 613.32
  4. Step 4: Simplify right side
    928.44x = 785,589.32
  5. Step 5: Solve for x
    x = 785,589.32/928.44
  6. Step 6: Final answer
    x = 846.14

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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.