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Finding the Fourth Proportional to 856.76, 1,285.14 and 491.96

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Solution

The fourth proportional to 856.76, 1,285.14 and 491.96 is: 737.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.76 : 1,285.14 = 491.96 : x
  2. Step 2: Convert to fraction form
    856.76/1,285.14 = 491.96/x
  3. Step 3: Cross multiply
    856.76x = 1,285.14 × 491.96
  4. Step 4: Simplify right side
    856.76x = 632,237.47
  5. Step 5: Solve for x
    x = 632,237.47/856.76
  6. Step 6: Final answer
    x = 737.94

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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.