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Finding the Fourth Proportional to 856.37, 1,282.23 and 595.82

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Solution

The fourth proportional to 856.37, 1,282.23 and 595.82 is: 892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.37 : 1,282.23 = 595.82 : x
  2. Step 2: Convert to fraction form
    856.37/1,282.23 = 595.82/x
  3. Step 3: Cross multiply
    856.37x = 1,282.23 × 595.82
  4. Step 4: Simplify right side
    856.37x = 763,978.28
  5. Step 5: Solve for x
    x = 763,978.28/856.37
  6. Step 6: Final answer
    x = 892.11

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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.