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Finding the Fourth Proportional to 663.60, 987.30 and 650.64

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Solution

The fourth proportional to 663.60, 987.30 and 650.64 is: 968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.60 : 987.30 = 650.64 : x
  2. Step 2: Convert to fraction form
    663.60/987.30 = 650.64/x
  3. Step 3: Cross multiply
    663.60x = 987.30 × 650.64
  4. Step 4: Simplify right side
    663.60x = 642,376.87
  5. Step 5: Solve for x
    x = 642,376.87/663.60
  6. Step 6: Final answer
    x = 968.02

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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.