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Finding the Fourth Proportional to 1,643.04, 2,464.74 and 488.82

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Solution

The fourth proportional to 1,643.04, 2,464.74 and 488.82 is: 733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.04 : 2,464.74 = 488.82 : x
  2. Step 2: Convert to fraction form
    1,643.04/2,464.74 = 488.82/x
  3. Step 3: Cross multiply
    1,643.04x = 2,464.74 × 488.82
  4. Step 4: Simplify right side
    1,643.04x = 1,204,814.21
  5. Step 5: Solve for x
    x = 1,204,814.21/1,643.04
  6. Step 6: Final answer
    x = 733.28

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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.