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Finding the Fourth Proportional to 1,004.02, 1,505.86 and 301.22

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Solution

The fourth proportional to 1,004.02, 1,505.86 and 301.22 is: 451.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.02 : 1,505.86 = 301.22 : x
  2. Step 2: Convert to fraction form
    1,004.02/1,505.86 = 301.22/x
  3. Step 3: Cross multiply
    1,004.02x = 1,505.86 × 301.22
  4. Step 4: Simplify right side
    1,004.02x = 453,586.87
  5. Step 5: Solve for x
    x = 453,586.87/1,004.02
  6. Step 6: Final answer
    x = 451.77

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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.