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Finding the Fourth Proportional to 1,464.94, 2,019.80 and 966.79

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Solution

The fourth proportional to 1,464.94, 2,019.80 and 966.79 is: 1,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.94 : 2,019.80 = 966.79 : x
  2. Step 2: Convert to fraction form
    1,464.94/2,019.80 = 966.79/x
  3. Step 3: Cross multiply
    1,464.94x = 2,019.80 × 966.79
  4. Step 4: Simplify right side
    1,464.94x = 1,952,727.38
  5. Step 5: Solve for x
    x = 1,952,727.38/1,464.94
  6. Step 6: Final answer
    x = 1,332.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.