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Finding the Fourth Proportional to 660.17, 989.37 and 493.14

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Solution

The fourth proportional to 660.17, 989.37 and 493.14 is: 739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.17 : 989.37 = 493.14 : x
  2. Step 2: Convert to fraction form
    660.17/989.37 = 493.14/x
  3. Step 3: Cross multiply
    660.17x = 989.37 × 493.14
  4. Step 4: Simplify right side
    660.17x = 487,897.92
  5. Step 5: Solve for x
    x = 487,897.92/660.17
  6. Step 6: Final answer
    x = 739.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.