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Finding the Fourth Proportional to 1,464.53, 2,019.51 and 966.51

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Solution

The fourth proportional to 1,464.53, 2,019.51 and 966.51 is: 1,332.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.53 : 2,019.51 = 966.51 : x
  2. Step 2: Convert to fraction form
    1,464.53/2,019.51 = 966.51/x
  3. Step 3: Cross multiply
    1,464.53x = 2,019.51 × 966.51
  4. Step 4: Simplify right side
    1,464.53x = 1,951,876.61
  5. Step 5: Solve for x
    x = 1,951,876.61/1,464.53
  6. Step 6: Final answer
    x = 1,332.77

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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.