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Finding the Fourth Proportional to 1,234.53, 1,703.16 and 792.27

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Solution

The fourth proportional to 1,234.53, 1,703.16 and 792.27 is: 1,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.53 : 1,703.16 = 792.27 : x
  2. Step 2: Convert to fraction form
    1,234.53/1,703.16 = 792.27/x
  3. Step 3: Cross multiply
    1,234.53x = 1,703.16 × 792.27
  4. Step 4: Simplify right side
    1,234.53x = 1,349,362.57
  5. Step 5: Solve for x
    x = 1,349,362.57/1,234.53
  6. Step 6: Final answer
    x = 1,093.02

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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.