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Finding the Fourth Proportional to 1,606.49, 2,409.73 and 452.24

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Solution

The fourth proportional to 1,606.49, 2,409.73 and 452.24 is: 678.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,606.49 : 2,409.73 = 452.24 : x
  2. Step 2: Convert to fraction form
    1,606.49/2,409.73 = 452.24/x
  3. Step 3: Cross multiply
    1,606.49x = 2,409.73 × 452.24
  4. Step 4: Simplify right side
    1,606.49x = 1,089,763.12
  5. Step 5: Solve for x
    x = 1,089,763.12/1,606.49
  6. Step 6: Final answer
    x = 678.35

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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.