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Finding the Fourth Proportional to 1,646.44, 2,468.81 and 606.08

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Solution

The fourth proportional to 1,646.44, 2,468.81 and 606.08 is: 908.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.44 : 2,468.81 = 606.08 : x
  2. Step 2: Convert to fraction form
    1,646.44/2,468.81 = 606.08/x
  3. Step 3: Cross multiply
    1,646.44x = 2,468.81 × 606.08
  4. Step 4: Simplify right side
    1,646.44x = 1,496,280.99
  5. Step 5: Solve for x
    x = 1,496,280.99/1,646.44
  6. Step 6: Final answer
    x = 908.80

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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.