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Finding the Fourth Proportional to 1,309.57, 1,807.45 and 812.09

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Solution

The fourth proportional to 1,309.57, 1,807.45 and 812.09 is: 1,120.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.57 : 1,807.45 = 812.09 : x
  2. Step 2: Convert to fraction form
    1,309.57/1,807.45 = 812.09/x
  3. Step 3: Cross multiply
    1,309.57x = 1,807.45 × 812.09
  4. Step 4: Simplify right side
    1,309.57x = 1,467,814.56
  5. Step 5: Solve for x
    x = 1,467,814.56/1,309.57
  6. Step 6: Final answer
    x = 1,120.84

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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.