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Finding the Fourth Proportional to 1,646.65, 2,469.99 and 550.87

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Solution

The fourth proportional to 1,646.65, 2,469.99 and 550.87 is: 826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.65 : 2,469.99 = 550.87 : x
  2. Step 2: Convert to fraction form
    1,646.65/2,469.99 = 550.87/x
  3. Step 3: Cross multiply
    1,646.65x = 2,469.99 × 550.87
  4. Step 4: Simplify right side
    1,646.65x = 1,360,643.39
  5. Step 5: Solve for x
    x = 1,360,643.39/1,646.65
  6. Step 6: Final answer
    x = 826.31

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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.