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Finding the Fourth Proportional to 928.04, 1,280.62 and 514.04

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Solution

The fourth proportional to 928.04, 1,280.62 and 514.04 is: 709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.04 : 1,280.62 = 514.04 : x
  2. Step 2: Convert to fraction form
    928.04/1,280.62 = 514.04/x
  3. Step 3: Cross multiply
    928.04x = 1,280.62 × 514.04
  4. Step 4: Simplify right side
    928.04x = 658,289.90
  5. Step 5: Solve for x
    x = 658,289.90/928.04
  6. Step 6: Final answer
    x = 709.33

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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.