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Finding the Fourth Proportional to 856.05, 1,180.94 and 576.38

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Solution

The fourth proportional to 856.05, 1,180.94 and 576.38 is: 795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.05 : 1,180.94 = 576.38 : x
  2. Step 2: Convert to fraction form
    856.05/1,180.94 = 576.38/x
  3. Step 3: Cross multiply
    856.05x = 1,180.94 × 576.38
  4. Step 4: Simplify right side
    856.05x = 680,661.41
  5. Step 5: Solve for x
    x = 680,661.41/856.05
  6. Step 6: Final answer
    x = 795.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.