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Finding the Fourth Proportional to 774.39, 1,162.43 and 312.49

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Solution

The fourth proportional to 774.39, 1,162.43 and 312.49 is: 469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.39 : 1,162.43 = 312.49 : x
  2. Step 2: Convert to fraction form
    774.39/1,162.43 = 312.49/x
  3. Step 3: Cross multiply
    774.39x = 1,162.43 × 312.49
  4. Step 4: Simplify right side
    774.39x = 363,240.38
  5. Step 5: Solve for x
    x = 363,240.38/774.39
  6. Step 6: Final answer
    x = 469.07

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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.