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Finding the Fourth Proportional to 663.90, 990.08 and 656.70

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Solution

The fourth proportional to 663.90, 990.08 and 656.70 is: 979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.90 : 990.08 = 656.70 : x
  2. Step 2: Convert to fraction form
    663.90/990.08 = 656.70/x
  3. Step 3: Cross multiply
    663.90x = 990.08 × 656.70
  4. Step 4: Simplify right side
    663.90x = 650,182.25
  5. Step 5: Solve for x
    x = 650,182.25/663.90
  6. Step 6: Final answer
    x = 979.34

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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.