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Finding the Fourth Proportional to 1,646.51, 2,469.78 and 550.46

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Solution

The fourth proportional to 1,646.51, 2,469.78 and 550.46 is: 825.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.51 : 2,469.78 = 550.46 : x
  2. Step 2: Convert to fraction form
    1,646.51/2,469.78 = 550.46/x
  3. Step 3: Cross multiply
    1,646.51x = 2,469.78 × 550.46
  4. Step 4: Simplify right side
    1,646.51x = 1,359,515.10
  5. Step 5: Solve for x
    x = 1,359,515.10/1,646.51
  6. Step 6: Final answer
    x = 825.70

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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.