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Finding the Fourth Proportional to 755.33, 1,133.01 and 496.98

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Solution

The fourth proportional to 755.33, 1,133.01 and 496.98 is: 745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.33 : 1,133.01 = 496.98 : x
  2. Step 2: Convert to fraction form
    755.33/1,133.01 = 496.98/x
  3. Step 3: Cross multiply
    755.33x = 1,133.01 × 496.98
  4. Step 4: Simplify right side
    755.33x = 563,083.31
  5. Step 5: Solve for x
    x = 563,083.31/755.33
  6. Step 6: Final answer
    x = 745.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.