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Finding the Fourth Proportional to 1,383.94, 1,909.84 and 754.47

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Solution

The fourth proportional to 1,383.94, 1,909.84 and 754.47 is: 1,041.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.94 : 1,909.84 = 754.47 : x
  2. Step 2: Convert to fraction form
    1,383.94/1,909.84 = 754.47/x
  3. Step 3: Cross multiply
    1,383.94x = 1,909.84 × 754.47
  4. Step 4: Simplify right side
    1,383.94x = 1,440,912.93
  5. Step 5: Solve for x
    x = 1,440,912.93/1,383.94
  6. Step 6: Final answer
    x = 1,041.17

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Why These Related Problems?

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