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Finding the Fourth Proportional to 856.12, 1,283.37 and 307.75

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Solution

The fourth proportional to 856.12, 1,283.37 and 307.75 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.12 : 1,283.37 = 307.75 : x
  2. Step 2: Convert to fraction form
    856.12/1,283.37 = 307.75/x
  3. Step 3: Cross multiply
    856.12x = 1,283.37 × 307.75
  4. Step 4: Simplify right side
    856.12x = 394,957.12
  5. Step 5: Solve for x
    x = 394,957.12/856.12
  6. Step 6: Final answer
    x = 461.33

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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.