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Finding the Fourth Proportional to 1,004.01, 1,505.74 and 484.35

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Solution

The fourth proportional to 1,004.01, 1,505.74 and 484.35 is: 726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.01 : 1,505.74 = 484.35 : x
  2. Step 2: Convert to fraction form
    1,004.01/1,505.74 = 484.35/x
  3. Step 3: Cross multiply
    1,004.01x = 1,505.74 × 484.35
  4. Step 4: Simplify right side
    1,004.01x = 729,305.17
  5. Step 5: Solve for x
    x = 729,305.17/1,004.01
  6. Step 6: Final answer
    x = 726.39

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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.