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Finding the Fourth Proportional to 856.26, 1,282.01 and 444.51

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Solution

The fourth proportional to 856.26, 1,282.01 and 444.51 is: 665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.26 : 1,282.01 = 444.51 : x
  2. Step 2: Convert to fraction form
    856.26/1,282.01 = 444.51/x
  3. Step 3: Cross multiply
    856.26x = 1,282.01 × 444.51
  4. Step 4: Simplify right side
    856.26x = 569,864.04
  5. Step 5: Solve for x
    x = 569,864.04/856.26
  6. Step 6: Final answer
    x = 665.53

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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.