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Finding the Fourth Proportional to 792.06, 1,187.16 and 445.32

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Solution

The fourth proportional to 792.06, 1,187.16 and 445.32 is: 667.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.06 : 1,187.16 = 445.32 : x
  2. Step 2: Convert to fraction form
    792.06/1,187.16 = 445.32/x
  3. Step 3: Cross multiply
    792.06x = 1,187.16 × 445.32
  4. Step 4: Simplify right side
    792.06x = 528,666.09
  5. Step 5: Solve for x
    x = 528,666.09/792.06
  6. Step 6: Final answer
    x = 667.46

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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.