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Finding the Fourth Proportional to 1,465.76, 2,198.22 and 643.82

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Solution

The fourth proportional to 1,465.76, 2,198.22 and 643.82 is: 965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.76 : 2,198.22 = 643.82 : x
  2. Step 2: Convert to fraction form
    1,465.76/2,198.22 = 643.82/x
  3. Step 3: Cross multiply
    1,465.76x = 2,198.22 × 643.82
  4. Step 4: Simplify right side
    1,465.76x = 1,415,247.01
  5. Step 5: Solve for x
    x = 1,415,247.01/1,465.76
  6. Step 6: Final answer
    x = 965.54

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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.