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Finding the Fourth Proportional to 944.06, 1,303.49 and 812.84

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Solution

The fourth proportional to 944.06, 1,303.49 and 812.84 is: 1,122.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.06 : 1,303.49 = 812.84 : x
  2. Step 2: Convert to fraction form
    944.06/1,303.49 = 812.84/x
  3. Step 3: Cross multiply
    944.06x = 1,303.49 × 812.84
  4. Step 4: Simplify right side
    944.06x = 1,059,524.33
  5. Step 5: Solve for x
    x = 1,059,524.33/944.06
  6. Step 6: Final answer
    x = 1,122.31

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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.