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Finding the Fourth Proportional to 774.92, 1,161.66 and 312.62

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Solution

The fourth proportional to 774.92, 1,161.66 and 312.62 is: 468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.92 : 1,161.66 = 312.62 : x
  2. Step 2: Convert to fraction form
    774.92/1,161.66 = 312.62/x
  3. Step 3: Cross multiply
    774.92x = 1,161.66 × 312.62
  4. Step 4: Simplify right side
    774.92x = 363,152.34
  5. Step 5: Solve for x
    x = 363,152.34/774.92
  6. Step 6: Final answer
    x = 468.64

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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.