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Finding the Fourth Proportional to 1,606.56, 2,409.78 and 452.28

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Solution

The fourth proportional to 1,606.56, 2,409.78 and 452.28 is: 678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.56 : 2,409.78 = 452.28 : x
  2. Step 2: Convert to fraction form
    1,606.56/2,409.78 = 452.28/x
  3. Step 3: Cross multiply
    1,606.56x = 2,409.78 × 452.28
  4. Step 4: Simplify right side
    1,606.56x = 1,089,895.30
  5. Step 5: Solve for x
    x = 1,089,895.30/1,606.56
  6. Step 6: Final answer
    x = 678.40

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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.