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Finding the Fourth Proportional to 1,002.40, 1,383.30 and 554.27

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Solution

The fourth proportional to 1,002.40, 1,383.30 and 554.27 is: 764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.40 : 1,383.30 = 554.27 : x
  2. Step 2: Convert to fraction form
    1,002.40/1,383.30 = 554.27/x
  3. Step 3: Cross multiply
    1,002.40x = 1,383.30 × 554.27
  4. Step 4: Simplify right side
    1,002.40x = 766,725.15
  5. Step 5: Solve for x
    x = 766,725.15/1,002.40
  6. Step 6: Final answer
    x = 764.89

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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.