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Finding the Fourth Proportional to 1,606.50, 2,409.68 and 452.25

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Solution

The fourth proportional to 1,606.50, 2,409.68 and 452.25 is: 678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.50 : 2,409.68 = 452.25 : x
  2. Step 2: Convert to fraction form
    1,606.50/2,409.68 = 452.25/x
  3. Step 3: Cross multiply
    1,606.50x = 2,409.68 × 452.25
  4. Step 4: Simplify right side
    1,606.50x = 1,089,778.91
  5. Step 5: Solve for x
    x = 1,089,778.91/1,606.50
  6. Step 6: Final answer
    x = 678.36

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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.