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Finding the Fourth Proportional to 1,022.25, 1,537.56 and 933.69

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Solution

The fourth proportional to 1,022.25, 1,537.56 and 933.69 is: 1,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.25 : 1,537.56 = 933.69 : x
  2. Step 2: Convert to fraction form
    1,022.25/1,537.56 = 933.69/x
  3. Step 3: Cross multiply
    1,022.25x = 1,537.56 × 933.69
  4. Step 4: Simplify right side
    1,022.25x = 1,435,604.40
  5. Step 5: Solve for x
    x = 1,435,604.40/1,022.25
  6. Step 6: Final answer
    x = 1,404.36

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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.