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Finding the Fourth Proportional to 901.51, 1,352.26 and 696.37

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Solution

The fourth proportional to 901.51, 1,352.26 and 696.37 is: 1,044.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.51 : 1,352.26 = 696.37 : x
  2. Step 2: Convert to fraction form
    901.51/1,352.26 = 696.37/x
  3. Step 3: Cross multiply
    901.51x = 1,352.26 × 696.37
  4. Step 4: Simplify right side
    901.51x = 941,673.30
  5. Step 5: Solve for x
    x = 941,673.30/901.51
  6. Step 6: Final answer
    x = 1,044.55

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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.