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Finding the Fourth Proportional to 1,022.30, 1,533.45 and 745.55

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Solution

The fourth proportional to 1,022.30, 1,533.45 and 745.55 is: 1,118.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.30 : 1,533.45 = 745.55 : x
  2. Step 2: Convert to fraction form
    1,022.30/1,533.45 = 745.55/x
  3. Step 3: Cross multiply
    1,022.30x = 1,533.45 × 745.55
  4. Step 4: Simplify right side
    1,022.30x = 1,143,263.65
  5. Step 5: Solve for x
    x = 1,143,263.65/1,022.30
  6. Step 6: Final answer
    x = 1,118.33

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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.