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Finding the Fourth Proportional to 663, 982.76 and 652.68

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Solution

The fourth proportional to 663, 982.76 and 652.68 is: 967.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    663 : 982.76 = 652.68 : x
  2. Step 2: Convert to fraction form
    663/982.76 = 652.68/x
  3. Step 3: Cross multiply
    663x = 982.76 × 652.68
  4. Step 4: Simplify right side
    663x = 641,427.80
  5. Step 5: Solve for x
    x = 641,427.80/663
  6. Step 6: Final answer
    x = 967.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.