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Finding the Fourth Proportional to 1,643.27, 2,464.94 and 473.38

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Solution

The fourth proportional to 1,643.27, 2,464.94 and 473.38 is: 710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.27 : 2,464.94 = 473.38 : x
  2. Step 2: Convert to fraction form
    1,643.27/2,464.94 = 473.38/x
  3. Step 3: Cross multiply
    1,643.27x = 2,464.94 × 473.38
  4. Step 4: Simplify right side
    1,643.27x = 1,166,853.30
  5. Step 5: Solve for x
    x = 1,166,853.30/1,643.27
  6. Step 6: Final answer
    x = 710.08

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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.