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Finding the Fourth Proportional to 856.46, 1,282.63 and 490.14

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Solution

The fourth proportional to 856.46, 1,282.63 and 490.14 is: 734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.46 : 1,282.63 = 490.14 : x
  2. Step 2: Convert to fraction form
    856.46/1,282.63 = 490.14/x
  3. Step 3: Cross multiply
    856.46x = 1,282.63 × 490.14
  4. Step 4: Simplify right side
    856.46x = 628,668.27
  5. Step 5: Solve for x
    x = 628,668.27/856.46
  6. Step 6: Final answer
    x = 734.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.