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Finding the Fourth Proportional to 853.86, 1,280.58 and 579.86

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Solution

The fourth proportional to 853.86, 1,280.58 and 579.86 is: 869.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,280.58 = 579.86 : x
  2. Step 2: Convert to fraction form
    853.86/1,280.58 = 579.86/x
  3. Step 3: Cross multiply
    853.86x = 1,280.58 × 579.86
  4. Step 4: Simplify right side
    853.86x = 742,557.12
  5. Step 5: Solve for x
    x = 742,557.12/853.86
  6. Step 6: Final answer
    x = 869.65

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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.