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Finding the Fourth Proportional to 1,606.68, 2,409.96 and 452.44

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Solution

The fourth proportional to 1,606.68, 2,409.96 and 452.44 is: 678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.68 : 2,409.96 = 452.44 : x
  2. Step 2: Convert to fraction form
    1,606.68/2,409.96 = 452.44/x
  3. Step 3: Cross multiply
    1,606.68x = 2,409.96 × 452.44
  4. Step 4: Simplify right side
    1,606.68x = 1,090,362.30
  5. Step 5: Solve for x
    x = 1,090,362.30/1,606.68
  6. Step 6: Final answer
    x = 678.64

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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.