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Finding the Fourth Proportional to 1,309.49, 1,806.44 and 778.13

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Solution

The fourth proportional to 1,309.49, 1,806.44 and 778.13 is: 1,073.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.49 : 1,806.44 = 778.13 : x
  2. Step 2: Convert to fraction form
    1,309.49/1,806.44 = 778.13/x
  3. Step 3: Cross multiply
    1,309.49x = 1,806.44 × 778.13
  4. Step 4: Simplify right side
    1,309.49x = 1,405,632.23
  5. Step 5: Solve for x
    x = 1,405,632.23/1,309.49
  6. Step 6: Final answer
    x = 1,073.42

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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.