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Finding the Fourth Proportional to 901.89, 1,245.48 and 703.27

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Solution

The fourth proportional to 901.89, 1,245.48 and 703.27 is: 971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.89 : 1,245.48 = 703.27 : x
  2. Step 2: Convert to fraction form
    901.89/1,245.48 = 703.27/x
  3. Step 3: Cross multiply
    901.89x = 1,245.48 × 703.27
  4. Step 4: Simplify right side
    901.89x = 875,907.64
  5. Step 5: Solve for x
    x = 875,907.64/901.89
  6. Step 6: Final answer
    x = 971.19

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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.