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Finding the Fourth Proportional to 901.39, 1,245.09 and 665.82

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Solution

The fourth proportional to 901.39, 1,245.09 and 665.82 is: 919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.39 : 1,245.09 = 665.82 : x
  2. Step 2: Convert to fraction form
    901.39/1,245.09 = 665.82/x
  3. Step 3: Cross multiply
    901.39x = 1,245.09 × 665.82
  4. Step 4: Simplify right side
    901.39x = 829,005.82
  5. Step 5: Solve for x
    x = 829,005.82/901.39
  6. Step 6: Final answer
    x = 919.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.