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Finding the Fourth Proportional to 1,465.46, 2,198.58 and 643.92

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Solution

The fourth proportional to 1,465.46, 2,198.58 and 643.92 is: 966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.46 : 2,198.58 = 643.92 : x
  2. Step 2: Convert to fraction form
    1,465.46/2,198.58 = 643.92/x
  3. Step 3: Cross multiply
    1,465.46x = 2,198.58 × 643.92
  4. Step 4: Simplify right side
    1,465.46x = 1,415,709.63
  5. Step 5: Solve for x
    x = 1,415,709.63/1,465.46
  6. Step 6: Final answer
    x = 966.05

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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.