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Finding the Fourth Proportional to 792.05, 1,187.42 and 596.66

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Solution

The fourth proportional to 792.05, 1,187.42 and 596.66 is: 894.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.05 : 1,187.42 = 596.66 : x
  2. Step 2: Convert to fraction form
    792.05/1,187.42 = 596.66/x
  3. Step 3: Cross multiply
    792.05x = 1,187.42 × 596.66
  4. Step 4: Simplify right side
    792.05x = 708,483.36
  5. Step 5: Solve for x
    x = 708,483.36/792.05
  6. Step 6: Final answer
    x = 894.50

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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.