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Finding the Fourth Proportional to 856.12, 1,284.27 and 393.91

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Solution

The fourth proportional to 856.12, 1,284.27 and 393.91 is: 590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.12 : 1,284.27 = 393.91 : x
  2. Step 2: Convert to fraction form
    856.12/1,284.27 = 393.91/x
  3. Step 3: Cross multiply
    856.12x = 1,284.27 × 393.91
  4. Step 4: Simplify right side
    856.12x = 505,886.80
  5. Step 5: Solve for x
    x = 505,886.80/856.12
  6. Step 6: Final answer
    x = 590.91

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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.