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Finding the Fourth Proportional to 771.24, 1,156.88 and 309.27

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Solution

The fourth proportional to 771.24, 1,156.88 and 309.27 is: 463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.24 : 1,156.88 = 309.27 : x
  2. Step 2: Convert to fraction form
    771.24/1,156.88 = 309.27/x
  3. Step 3: Cross multiply
    771.24x = 1,156.88 × 309.27
  4. Step 4: Simplify right side
    771.24x = 357,788.28
  5. Step 5: Solve for x
    x = 357,788.28/771.24
  6. Step 6: Final answer
    x = 463.91

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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.