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Finding the Fourth Proportional to 1,022.27, 1,533.63 and 528.83

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Solution

The fourth proportional to 1,022.27, 1,533.63 and 528.83 is: 793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.27 : 1,533.63 = 528.83 : x
  2. Step 2: Convert to fraction form
    1,022.27/1,533.63 = 528.83/x
  3. Step 3: Cross multiply
    1,022.27x = 1,533.63 × 528.83
  4. Step 4: Simplify right side
    1,022.27x = 811,029.62
  5. Step 5: Solve for x
    x = 811,029.62/1,022.27
  6. Step 6: Final answer
    x = 793.36

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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.