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Finding the Fourth Proportional to 1,129.51, 1,694.40 and 388.92

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Solution

The fourth proportional to 1,129.51, 1,694.40 and 388.92 is: 583.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.51 : 1,694.40 = 388.92 : x
  2. Step 2: Convert to fraction form
    1,129.51/1,694.40 = 388.92/x
  3. Step 3: Cross multiply
    1,129.51x = 1,694.40 × 388.92
  4. Step 4: Simplify right side
    1,129.51x = 658,986.05
  5. Step 5: Solve for x
    x = 658,986.05/1,129.51
  6. Step 6: Final answer
    x = 583.43

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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.