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Finding the Fourth Proportional to 856.43, 1,284.63 and 207.16

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Solution

The fourth proportional to 856.43, 1,284.63 and 207.16 is: 310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.43 : 1,284.63 = 207.16 : x
  2. Step 2: Convert to fraction form
    856.43/1,284.63 = 207.16/x
  3. Step 3: Cross multiply
    856.43x = 1,284.63 × 207.16
  4. Step 4: Simplify right side
    856.43x = 266,120.74
  5. Step 5: Solve for x
    x = 266,120.74/856.43
  6. Step 6: Final answer
    x = 310.73

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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.