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Finding the Fourth Proportional to 1,383.51, 1,909.20 and 754.02

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Solution

The fourth proportional to 1,383.51, 1,909.20 and 754.02 is: 1,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.51 : 1,909.20 = 754.02 : x
  2. Step 2: Convert to fraction form
    1,383.51/1,909.20 = 754.02/x
  3. Step 3: Cross multiply
    1,383.51x = 1,909.20 × 754.02
  4. Step 4: Simplify right side
    1,383.51x = 1,439,574.98
  5. Step 5: Solve for x
    x = 1,439,574.98/1,383.51
  6. Step 6: Final answer
    x = 1,040.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.