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Finding the Fourth Proportional to 1,090.83, 1,644.47 and 1,020.36

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Solution

The fourth proportional to 1,090.83, 1,644.47 and 1,020.36 is: 1,538.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.83 : 1,644.47 = 1,020.36 : x
  2. Step 2: Convert to fraction form
    1,090.83/1,644.47 = 1,020.36/x
  3. Step 3: Cross multiply
    1,090.83x = 1,644.47 × 1,020.36
  4. Step 4: Simplify right side
    1,090.83x = 1,677,946.31
  5. Step 5: Solve for x
    x = 1,677,946.31/1,090.83
  6. Step 6: Final answer
    x = 1,538.23

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.