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Finding the Fourth Proportional to 1,305.78, 1,956.57 and 893.52

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Solution

The fourth proportional to 1,305.78, 1,956.57 and 893.52 is: 1,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.78 : 1,956.57 = 893.52 : x
  2. Step 2: Convert to fraction form
    1,305.78/1,956.57 = 893.52/x
  3. Step 3: Cross multiply
    1,305.78x = 1,956.57 × 893.52
  4. Step 4: Simplify right side
    1,305.78x = 1,748,234.43
  5. Step 5: Solve for x
    x = 1,748,234.43/1,305.78
  6. Step 6: Final answer
    x = 1,338.84

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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.