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Finding the Fourth Proportional to 865.55, 1,194.57 and 666.60

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Solution

The fourth proportional to 865.55, 1,194.57 and 666.60 is: 920.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.55 : 1,194.57 = 666.60 : x
  2. Step 2: Convert to fraction form
    865.55/1,194.57 = 666.60/x
  3. Step 3: Cross multiply
    865.55x = 1,194.57 × 666.60
  4. Step 4: Simplify right side
    865.55x = 796,300.36
  5. Step 5: Solve for x
    x = 796,300.36/865.55
  6. Step 6: Final answer
    x = 920.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.