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Finding the Fourth Proportional to 792.86, 1,187.96 and 561.24

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Solution

The fourth proportional to 792.86, 1,187.96 and 561.24 is: 840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.86 : 1,187.96 = 561.24 : x
  2. Step 2: Convert to fraction form
    792.86/1,187.96 = 561.24/x
  3. Step 3: Cross multiply
    792.86x = 1,187.96 × 561.24
  4. Step 4: Simplify right side
    792.86x = 666,727.86
  5. Step 5: Solve for x
    x = 666,727.86/792.86
  6. Step 6: Final answer
    x = 840.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.