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Finding the Fourth Proportional to 776.44, 1,164.38 and 282.69

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Solution

The fourth proportional to 776.44, 1,164.38 and 282.69 is: 423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.44 : 1,164.38 = 282.69 : x
  2. Step 2: Convert to fraction form
    776.44/1,164.38 = 282.69/x
  3. Step 3: Cross multiply
    776.44x = 1,164.38 × 282.69
  4. Step 4: Simplify right side
    776.44x = 329,157.17
  5. Step 5: Solve for x
    x = 329,157.17/776.44
  6. Step 6: Final answer
    x = 423.93

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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.