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Finding the Fourth Proportional to 936.26, 1,405.32 and 764.90

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Solution

The fourth proportional to 936.26, 1,405.32 and 764.90 is: 1,148.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.26 : 1,405.32 = 764.90 : x
  2. Step 2: Convert to fraction form
    936.26/1,405.32 = 764.90/x
  3. Step 3: Cross multiply
    936.26x = 1,405.32 × 764.90
  4. Step 4: Simplify right side
    936.26x = 1,074,929.27
  5. Step 5: Solve for x
    x = 1,074,929.27/936.26
  6. Step 6: Final answer
    x = 1,148.11

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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.