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Finding the Fourth Proportional to 1,383.96, 2,072.82 and 651.98

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Solution

The fourth proportional to 1,383.96, 2,072.82 and 651.98 is: 976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.96 : 2,072.82 = 651.98 : x
  2. Step 2: Convert to fraction form
    1,383.96/2,072.82 = 651.98/x
  3. Step 3: Cross multiply
    1,383.96x = 2,072.82 × 651.98
  4. Step 4: Simplify right side
    1,383.96x = 1,351,437.18
  5. Step 5: Solve for x
    x = 1,351,437.18/1,383.96
  6. Step 6: Final answer
    x = 976.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.