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Finding the Fourth Proportional to 856.90, 1,285.12 and 423.94

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Solution

The fourth proportional to 856.90, 1,285.12 and 423.94 is: 635.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.90 : 1,285.12 = 423.94 : x
  2. Step 2: Convert to fraction form
    856.90/1,285.12 = 423.94/x
  3. Step 3: Cross multiply
    856.90x = 1,285.12 × 423.94
  4. Step 4: Simplify right side
    856.90x = 544,813.77
  5. Step 5: Solve for x
    x = 544,813.77/856.90
  6. Step 6: Final answer
    x = 635.80

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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.