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Finding the Fourth Proportional to 936.45, 1,289.79 and 812.12

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Solution

The fourth proportional to 936.45, 1,289.79 and 812.12 is: 1,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.45 : 1,289.79 = 812.12 : x
  2. Step 2: Convert to fraction form
    936.45/1,289.79 = 812.12/x
  3. Step 3: Cross multiply
    936.45x = 1,289.79 × 812.12
  4. Step 4: Simplify right side
    936.45x = 1,047,457.81
  5. Step 5: Solve for x
    x = 1,047,457.81/936.45
  6. Step 6: Final answer
    x = 1,118.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.