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Finding the Fourth Proportional to 698.61, 965.12 and 541.65

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Solution

The fourth proportional to 698.61, 965.12 and 541.65 is: 748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.61 : 965.12 = 541.65 : x
  2. Step 2: Convert to fraction form
    698.61/965.12 = 541.65/x
  3. Step 3: Cross multiply
    698.61x = 965.12 × 541.65
  4. Step 4: Simplify right side
    698.61x = 522,754.54
  5. Step 5: Solve for x
    x = 522,754.54/698.61
  6. Step 6: Final answer
    x = 748.28

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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.