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Finding the Fourth Proportional to 774.33, 1,161.70 and 384.32

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Solution

The fourth proportional to 774.33, 1,161.70 and 384.32 is: 576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.33 : 1,161.70 = 384.32 : x
  2. Step 2: Convert to fraction form
    774.33/1,161.70 = 384.32/x
  3. Step 3: Cross multiply
    774.33x = 1,161.70 × 384.32
  4. Step 4: Simplify right side
    774.33x = 446,456.81
  5. Step 5: Solve for x
    x = 446,456.81/774.33
  6. Step 6: Final answer
    x = 576.57

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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.