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Finding the Fourth Proportional to 771.85, 1,157.54 and 309.38

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Solution

The fourth proportional to 771.85, 1,157.54 and 309.38 is: 463.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.85 : 1,157.54 = 309.38 : x
  2. Step 2: Convert to fraction form
    771.85/1,157.54 = 309.38/x
  3. Step 3: Cross multiply
    771.85x = 1,157.54 × 309.38
  4. Step 4: Simplify right side
    771.85x = 358,121.07
  5. Step 5: Solve for x
    x = 358,121.07/771.85
  6. Step 6: Final answer
    x = 463.98

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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.