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Finding the Fourth Proportional to 856.53, 1,284.87 and 369.59

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Solution

The fourth proportional to 856.53, 1,284.87 and 369.59 is: 554.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.53 : 1,284.87 = 369.59 : x
  2. Step 2: Convert to fraction form
    856.53/1,284.87 = 369.59/x
  3. Step 3: Cross multiply
    856.53x = 1,284.87 × 369.59
  4. Step 4: Simplify right side
    856.53x = 474,868.68
  5. Step 5: Solve for x
    x = 474,868.68/856.53
  6. Step 6: Final answer
    x = 554.41

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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.