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Finding the Fourth Proportional to 1,383.39, 1,909.05 and 762.39

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Solution

The fourth proportional to 1,383.39, 1,909.05 and 762.39 is: 1,052.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.39 : 1,909.05 = 762.39 : x
  2. Step 2: Convert to fraction form
    1,383.39/1,909.05 = 762.39/x
  3. Step 3: Cross multiply
    1,383.39x = 1,909.05 × 762.39
  4. Step 4: Simplify right side
    1,383.39x = 1,455,440.63
  5. Step 5: Solve for x
    x = 1,455,440.63/1,383.39
  6. Step 6: Final answer
    x = 1,052.08

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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.