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Finding the Fourth Proportional to 928.17, 1,280.34 and 578.25

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Solution

The fourth proportional to 928.17, 1,280.34 and 578.25 is: 797.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.17 : 1,280.34 = 578.25 : x
  2. Step 2: Convert to fraction form
    928.17/1,280.34 = 578.25/x
  3. Step 3: Cross multiply
    928.17x = 1,280.34 × 578.25
  4. Step 4: Simplify right side
    928.17x = 740,356.61
  5. Step 5: Solve for x
    x = 740,356.61/928.17
  6. Step 6: Final answer
    x = 797.65

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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.