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Finding the Fourth Proportional to 1,643.03, 2,464.16 and 473.03

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Solution

The fourth proportional to 1,643.03, 2,464.16 and 473.03 is: 709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.03 : 2,464.16 = 473.03 : x
  2. Step 2: Convert to fraction form
    1,643.03/2,464.16 = 473.03/x
  3. Step 3: Cross multiply
    1,643.03x = 2,464.16 × 473.03
  4. Step 4: Simplify right side
    1,643.03x = 1,165,606.92
  5. Step 5: Solve for x
    x = 1,165,606.92/1,643.03
  6. Step 6: Final answer
    x = 709.43

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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.