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Finding the Fourth Proportional to 712.28, 980.75 and 535.50

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Solution

The fourth proportional to 712.28, 980.75 and 535.50 is: 737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.28 : 980.75 = 535.50 : x
  2. Step 2: Convert to fraction form
    712.28/980.75 = 535.50/x
  3. Step 3: Cross multiply
    712.28x = 980.75 × 535.50
  4. Step 4: Simplify right side
    712.28x = 525,188.95
  5. Step 5: Solve for x
    x = 525,188.95/712.28
  6. Step 6: Final answer
    x = 737.34

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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.