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Finding the Fourth Proportional to 853.73, 1,177.60 and 591.69

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Solution

The fourth proportional to 853.73, 1,177.60 and 591.69 is: 816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.73 : 1,177.60 = 591.69 : x
  2. Step 2: Convert to fraction form
    853.73/1,177.60 = 591.69/x
  3. Step 3: Cross multiply
    853.73x = 1,177.60 × 591.69
  4. Step 4: Simplify right side
    853.73x = 696,774.14
  5. Step 5: Solve for x
    x = 696,774.14/853.73
  6. Step 6: Final answer
    x = 816.15

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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.