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Finding the Fourth Proportional to 774.36, 1,161.58 and 312.14

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Solution

The fourth proportional to 774.36, 1,161.58 and 312.14 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.36 : 1,161.58 = 312.14 : x
  2. Step 2: Convert to fraction form
    774.36/1,161.58 = 312.14/x
  3. Step 3: Cross multiply
    774.36x = 1,161.58 × 312.14
  4. Step 4: Simplify right side
    774.36x = 362,569.77
  5. Step 5: Solve for x
    x = 362,569.77/774.36
  6. Step 6: Final answer
    x = 468.22

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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.