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Finding the Fourth Proportional to 1,972.25, 2,958.02 and 655.87

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Solution

The fourth proportional to 1,972.25, 2,958.02 and 655.87 is: 983.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.25 : 2,958.02 = 655.87 : x
  2. Step 2: Convert to fraction form
    1,972.25/2,958.02 = 655.87/x
  3. Step 3: Cross multiply
    1,972.25x = 2,958.02 × 655.87
  4. Step 4: Simplify right side
    1,972.25x = 1,940,077.60
  5. Step 5: Solve for x
    x = 1,940,077.60/1,972.25
  6. Step 6: Final answer
    x = 983.69

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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.