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Finding the Fourth Proportional to 774.38, 1,161.64 and 312.14

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Solution

The fourth proportional to 774.38, 1,161.64 and 312.14 is: 468.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.38 : 1,161.64 = 312.14 : x
  2. Step 2: Convert to fraction form
    774.38/1,161.64 = 312.14/x
  3. Step 3: Cross multiply
    774.38x = 1,161.64 × 312.14
  4. Step 4: Simplify right side
    774.38x = 362,594.31
  5. Step 5: Solve for x
    x = 362,594.31/774.38
  6. Step 6: Final answer
    x = 468.24

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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.