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Finding the Fourth Proportional to 901.10, 1,236.18 and 845.22

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Solution

The fourth proportional to 901.10, 1,236.18 and 845.22 is: 1,159.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.10 : 1,236.18 = 845.22 : x
  2. Step 2: Convert to fraction form
    901.10/1,236.18 = 845.22/x
  3. Step 3: Cross multiply
    901.10x = 1,236.18 × 845.22
  4. Step 4: Simplify right side
    901.10x = 1,044,844.06
  5. Step 5: Solve for x
    x = 1,044,844.06/901.10
  6. Step 6: Final answer
    x = 1,159.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.