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Finding the Fourth Proportional to 856.27, 1,284.00 and 393.91

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Solution

The fourth proportional to 856.27, 1,284.00 and 393.91 is: 590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.27 : 1,284.00 = 393.91 : x
  2. Step 2: Convert to fraction form
    856.27/1,284.00 = 393.91/x
  3. Step 3: Cross multiply
    856.27x = 1,284.00 × 393.91
  4. Step 4: Simplify right side
    856.27x = 505,785.19
  5. Step 5: Solve for x
    x = 505,785.19/856.27
  6. Step 6: Final answer
    x = 590.68

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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.