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Finding the Fourth Proportional to 774.87, 1,162.76 and 312.69

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Solution

The fourth proportional to 774.87, 1,162.76 and 312.69 is: 469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.87 : 1,162.76 = 312.69 : x
  2. Step 2: Convert to fraction form
    774.87/1,162.76 = 312.69/x
  3. Step 3: Cross multiply
    774.87x = 1,162.76 × 312.69
  4. Step 4: Simplify right side
    774.87x = 363,581.86
  5. Step 5: Solve for x
    x = 363,581.86/774.87
  6. Step 6: Final answer
    x = 469.22

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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.