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Finding the Fourth Proportional to 771.93, 1,157.67 and 309.69

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Solution

The fourth proportional to 771.93, 1,157.67 and 309.69 is: 464.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.93 : 1,157.67 = 309.69 : x
  2. Step 2: Convert to fraction form
    771.93/1,157.67 = 309.69/x
  3. Step 3: Cross multiply
    771.93x = 1,157.67 × 309.69
  4. Step 4: Simplify right side
    771.93x = 358,518.82
  5. Step 5: Solve for x
    x = 358,518.82/771.93
  6. Step 6: Final answer
    x = 464.44

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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.