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Finding the Fourth Proportional to 856.14, 1,181.34 and 575.93

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Solution

The fourth proportional to 856.14, 1,181.34 and 575.93 is: 794.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.14 : 1,181.34 = 575.93 : x
  2. Step 2: Convert to fraction form
    856.14/1,181.34 = 575.93/x
  3. Step 3: Cross multiply
    856.14x = 1,181.34 × 575.93
  4. Step 4: Simplify right side
    856.14x = 680,363.24
  5. Step 5: Solve for x
    x = 680,363.24/856.14
  6. Step 6: Final answer
    x = 794.69

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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.