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Finding the Fourth Proportional to 1,021.83, 1,533.01 and 405.54

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Solution

The fourth proportional to 1,021.83, 1,533.01 and 405.54 is: 608.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.83 : 1,533.01 = 405.54 : x
  2. Step 2: Convert to fraction form
    1,021.83/1,533.01 = 405.54/x
  3. Step 3: Cross multiply
    1,021.83x = 1,533.01 × 405.54
  4. Step 4: Simplify right side
    1,021.83x = 621,696.62
  5. Step 5: Solve for x
    x = 621,696.62/1,021.83
  6. Step 6: Final answer
    x = 608.41

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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.