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Finding the Fourth Proportional to 1,464.13, 2,196.78 and 642.88

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Solution

The fourth proportional to 1,464.13, 2,196.78 and 642.88 is: 964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.13 : 2,196.78 = 642.88 : x
  2. Step 2: Convert to fraction form
    1,464.13/2,196.78 = 642.88/x
  3. Step 3: Cross multiply
    1,464.13x = 2,196.78 × 642.88
  4. Step 4: Simplify right side
    1,464.13x = 1,412,265.93
  5. Step 5: Solve for x
    x = 1,412,265.93/1,464.13
  6. Step 6: Final answer
    x = 964.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.