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Finding the Fourth Proportional to 1,606.64, 2,409.42 and 452.12

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Solution

The fourth proportional to 1,606.64, 2,409.42 and 452.12 is: 678.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.64 : 2,409.42 = 452.12 : x
  2. Step 2: Convert to fraction form
    1,606.64/2,409.42 = 452.12/x
  3. Step 3: Cross multiply
    1,606.64x = 2,409.42 × 452.12
  4. Step 4: Simplify right side
    1,606.64x = 1,089,346.97
  5. Step 5: Solve for x
    x = 1,089,346.97/1,606.64
  6. Step 6: Final answer
    x = 678.03

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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.