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Finding the Fourth Proportional to 1,464.05, 2,197.29 and 642.91

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Solution

The fourth proportional to 1,464.05, 2,197.29 and 642.91 is: 964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.05 : 2,197.29 = 642.91 : x
  2. Step 2: Convert to fraction form
    1,464.05/2,197.29 = 642.91/x
  3. Step 3: Cross multiply
    1,464.05x = 2,197.29 × 642.91
  4. Step 4: Simplify right side
    1,464.05x = 1,412,659.71
  5. Step 5: Solve for x
    x = 1,412,659.71/1,464.05
  6. Step 6: Final answer
    x = 964.90

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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.