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Finding the Fourth Proportional to 764.19, 1,146.11 and 277.35

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Solution

The fourth proportional to 764.19, 1,146.11 and 277.35 is: 415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.19 : 1,146.11 = 277.35 : x
  2. Step 2: Convert to fraction form
    764.19/1,146.11 = 277.35/x
  3. Step 3: Cross multiply
    764.19x = 1,146.11 × 277.35
  4. Step 4: Simplify right side
    764.19x = 317,872.22
  5. Step 5: Solve for x
    x = 317,872.22/764.19
  6. Step 6: Final answer
    x = 415.96

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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.