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Finding the Fourth Proportional to 663.76, 990.62 and 646.48

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Solution

The fourth proportional to 663.76, 990.62 and 646.48 is: 964.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 990.62 = 646.48 : x
  2. Step 2: Convert to fraction form
    663.76/990.62 = 646.48/x
  3. Step 3: Cross multiply
    663.76x = 990.62 × 646.48
  4. Step 4: Simplify right side
    663.76x = 640,416.02
  5. Step 5: Solve for x
    x = 640,416.02/663.76
  6. Step 6: Final answer
    x = 964.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.