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Finding the Fourth Proportional to 660.42, 909.81 and 547.98

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Solution

The fourth proportional to 660.42, 909.81 and 547.98 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.42 : 909.81 = 547.98 : x
  2. Step 2: Convert to fraction form
    660.42/909.81 = 547.98/x
  3. Step 3: Cross multiply
    660.42x = 909.81 × 547.98
  4. Step 4: Simplify right side
    660.42x = 498,557.68
  5. Step 5: Solve for x
    x = 498,557.68/660.42
  6. Step 6: Final answer
    x = 754.91

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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.