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Finding the Fourth Proportional to 1,032.54, 1,546.44 and 621.19

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Solution

The fourth proportional to 1,032.54, 1,546.44 and 621.19 is: 930.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.54 : 1,546.44 = 621.19 : x
  2. Step 2: Convert to fraction form
    1,032.54/1,546.44 = 621.19/x
  3. Step 3: Cross multiply
    1,032.54x = 1,546.44 × 621.19
  4. Step 4: Simplify right side
    1,032.54x = 960,640.51
  5. Step 5: Solve for x
    x = 960,640.51/1,032.54
  6. Step 6: Final answer
    x = 930.37

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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.