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Finding the Fourth Proportional to 1,234.29, 1,703.12 and 792.11

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Solution

The fourth proportional to 1,234.29, 1,703.12 and 792.11 is: 1,092.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.29 : 1,703.12 = 792.11 : x
  2. Step 2: Convert to fraction form
    1,234.29/1,703.12 = 792.11/x
  3. Step 3: Cross multiply
    1,234.29x = 1,703.12 × 792.11
  4. Step 4: Simplify right side
    1,234.29x = 1,349,045.91
  5. Step 5: Solve for x
    x = 1,349,045.91/1,234.29
  6. Step 6: Final answer
    x = 1,092.97

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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.