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Finding the Fourth Proportional to 774.81, 1,162.21 and 312.26

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Solution

The fourth proportional to 774.81, 1,162.21 and 312.26 is: 468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.81 : 1,162.21 = 312.26 : x
  2. Step 2: Convert to fraction form
    774.81/1,162.21 = 312.26/x
  3. Step 3: Cross multiply
    774.81x = 1,162.21 × 312.26
  4. Step 4: Simplify right side
    774.81x = 362,917.63
  5. Step 5: Solve for x
    x = 362,917.63/774.81
  6. Step 6: Final answer
    x = 468.39

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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.