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Finding the Fourth Proportional to 997.47, 1,496.07 and 564.39

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Solution

The fourth proportional to 997.47, 1,496.07 and 564.39 is: 846.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.47 : 1,496.07 = 564.39 : x
  2. Step 2: Convert to fraction form
    997.47/1,496.07 = 564.39/x
  3. Step 3: Cross multiply
    997.47x = 1,496.07 × 564.39
  4. Step 4: Simplify right side
    997.47x = 844,366.95
  5. Step 5: Solve for x
    x = 844,366.95/997.47
  6. Step 6: Final answer
    x = 846.51

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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.