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Finding the Fourth Proportional to 901.03, 1,349.64 and 414.49

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Solution

The fourth proportional to 901.03, 1,349.64 and 414.49 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.03 : 1,349.64 = 414.49 : x
  2. Step 2: Convert to fraction form
    901.03/1,349.64 = 414.49/x
  3. Step 3: Cross multiply
    901.03x = 1,349.64 × 414.49
  4. Step 4: Simplify right side
    901.03x = 559,412.28
  5. Step 5: Solve for x
    x = 559,412.28/901.03
  6. Step 6: Final answer
    x = 620.86

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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.