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Finding the Fourth Proportional to 660.82, 989.40 and 498.01

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Solution

The fourth proportional to 660.82, 989.40 and 498.01 is: 745.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.82 : 989.40 = 498.01 : x
  2. Step 2: Convert to fraction form
    660.82/989.40 = 498.01/x
  3. Step 3: Cross multiply
    660.82x = 989.40 × 498.01
  4. Step 4: Simplify right side
    660.82x = 492,724.90
  5. Step 5: Solve for x
    x = 492,724.90/660.82
  6. Step 6: Final answer
    x = 745.63

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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.