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Finding the Fourth Proportional to 1,646.43, 2,468.85 and 550.02

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Solution

The fourth proportional to 1,646.43, 2,468.85 and 550.02 is: 824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.43 : 2,468.85 = 550.02 : x
  2. Step 2: Convert to fraction form
    1,646.43/2,468.85 = 550.02/x
  3. Step 3: Cross multiply
    1,646.43x = 2,468.85 × 550.02
  4. Step 4: Simplify right side
    1,646.43x = 1,357,907.88
  5. Step 5: Solve for x
    x = 1,357,907.88/1,646.43
  6. Step 6: Final answer
    x = 824.76

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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.