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Finding the Fourth Proportional to 661.69, 990.71 and 498.88

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Solution

The fourth proportional to 661.69, 990.71 and 498.88 is: 746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.69 : 990.71 = 498.88 : x
  2. Step 2: Convert to fraction form
    661.69/990.71 = 498.88/x
  3. Step 3: Cross multiply
    661.69x = 990.71 × 498.88
  4. Step 4: Simplify right side
    661.69x = 494,245.40
  5. Step 5: Solve for x
    x = 494,245.40/661.69
  6. Step 6: Final answer
    x = 746.94

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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.