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Finding the Fourth Proportional to 853.76, 1,178.72 and 666.96

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Solution

The fourth proportional to 853.76, 1,178.72 and 666.96 is: 920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,178.72 = 666.96 : x
  2. Step 2: Convert to fraction form
    853.76/1,178.72 = 666.96/x
  3. Step 3: Cross multiply
    853.76x = 1,178.72 × 666.96
  4. Step 4: Simplify right side
    853.76x = 786,159.09
  5. Step 5: Solve for x
    x = 786,159.09/853.76
  6. Step 6: Final answer
    x = 920.82

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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.