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Finding the Fourth Proportional to 856.54, 1,284.71 and 369.92

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Solution

The fourth proportional to 856.54, 1,284.71 and 369.92 is: 554.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.54 : 1,284.71 = 369.92 : x
  2. Step 2: Convert to fraction form
    856.54/1,284.71 = 369.92/x
  3. Step 3: Cross multiply
    856.54x = 1,284.71 × 369.92
  4. Step 4: Simplify right side
    856.54x = 475,239.92
  5. Step 5: Solve for x
    x = 475,239.92/856.54
  6. Step 6: Final answer
    x = 554.84

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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.