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Finding the Fourth Proportional to 1,002.86, 1,383.96 and 554.73

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Solution

The fourth proportional to 1,002.86, 1,383.96 and 554.73 is: 765.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.86 : 1,383.96 = 554.73 : x
  2. Step 2: Convert to fraction form
    1,002.86/1,383.96 = 554.73/x
  3. Step 3: Cross multiply
    1,002.86x = 1,383.96 × 554.73
  4. Step 4: Simplify right side
    1,002.86x = 767,724.13
  5. Step 5: Solve for x
    x = 767,724.13/1,002.86
  6. Step 6: Final answer
    x = 765.53

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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.