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Finding the Fourth Proportional to 856.32, 1,282.02 and 444.48

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Solution

The fourth proportional to 856.32, 1,282.02 and 444.48 is: 665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.32 : 1,282.02 = 444.48 : x
  2. Step 2: Convert to fraction form
    856.32/1,282.02 = 444.48/x
  3. Step 3: Cross multiply
    856.32x = 1,282.02 × 444.48
  4. Step 4: Simplify right side
    856.32x = 569,832.25
  5. Step 5: Solve for x
    x = 569,832.25/856.32
  6. Step 6: Final answer
    x = 665.44

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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.