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Finding the Fourth Proportional to 1,523.82, 2,283.90 and 792.98

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Solution

The fourth proportional to 1,523.82, 2,283.90 and 792.98 is: 1,188.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.82 : 2,283.90 = 792.98 : x
  2. Step 2: Convert to fraction form
    1,523.82/2,283.90 = 792.98/x
  3. Step 3: Cross multiply
    1,523.82x = 2,283.90 × 792.98
  4. Step 4: Simplify right side
    1,523.82x = 1,811,087.02
  5. Step 5: Solve for x
    x = 1,811,087.02/1,523.82
  6. Step 6: Final answer
    x = 1,188.52

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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.