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Finding the Fourth Proportional to 1,643, 2,464.58 and 488.76

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Solution

The fourth proportional to 1,643, 2,464.58 and 488.76 is: 733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643 : 2,464.58 = 488.76 : x
  2. Step 2: Convert to fraction form
    1,643/2,464.58 = 488.76/x
  3. Step 3: Cross multiply
    1,643x = 2,464.58 × 488.76
  4. Step 4: Simplify right side
    1,643x = 1,204,588.12
  5. Step 5: Solve for x
    x = 1,204,588.12/1,643
  6. Step 6: Final answer
    x = 733.16

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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.