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Finding the Fourth Proportional to 1,464.17, 2,196.86 and 643.03

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Solution

The fourth proportional to 1,464.17, 2,196.86 and 643.03 is: 964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.17 : 2,196.86 = 643.03 : x
  2. Step 2: Convert to fraction form
    1,464.17/2,196.86 = 643.03/x
  3. Step 3: Cross multiply
    1,464.17x = 2,196.86 × 643.03
  4. Step 4: Simplify right side
    1,464.17x = 1,412,646.89
  5. Step 5: Solve for x
    x = 1,412,646.89/1,464.17
  6. Step 6: Final answer
    x = 964.81

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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.