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Finding the Fourth Proportional to 771.69, 1,157.53 and 309.14

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Solution

The fourth proportional to 771.69, 1,157.53 and 309.14 is: 463.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.69 : 1,157.53 = 309.14 : x
  2. Step 2: Convert to fraction form
    771.69/1,157.53 = 309.14/x
  3. Step 3: Cross multiply
    771.69x = 1,157.53 × 309.14
  4. Step 4: Simplify right side
    771.69x = 357,838.05
  5. Step 5: Solve for x
    x = 357,838.05/771.69
  6. Step 6: Final answer
    x = 463.71

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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.