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Finding the Fourth Proportional to 1,504.62, 2,256.72 and 409.01

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Solution

The fourth proportional to 1,504.62, 2,256.72 and 409.01 is: 613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.62 : 2,256.72 = 409.01 : x
  2. Step 2: Convert to fraction form
    1,504.62/2,256.72 = 409.01/x
  3. Step 3: Cross multiply
    1,504.62x = 2,256.72 × 409.01
  4. Step 4: Simplify right side
    1,504.62x = 923,015.41
  5. Step 5: Solve for x
    x = 923,015.41/1,504.62
  6. Step 6: Final answer
    x = 613.45

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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.