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Finding the Fourth Proportional to 755.33, 1,130.22 and 697.23

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Solution

The fourth proportional to 755.33, 1,130.22 and 697.23 is: 1,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.33 : 1,130.22 = 697.23 : x
  2. Step 2: Convert to fraction form
    755.33/1,130.22 = 697.23/x
  3. Step 3: Cross multiply
    755.33x = 1,130.22 × 697.23
  4. Step 4: Simplify right side
    755.33x = 788,023.29
  5. Step 5: Solve for x
    x = 788,023.29/755.33
  6. Step 6: Final answer
    x = 1,043.29

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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.