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Finding the Fourth Proportional to 1,309.20, 1,806.67 and 711.68

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Solution

The fourth proportional to 1,309.20, 1,806.67 and 711.68 is: 982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.20 : 1,806.67 = 711.68 : x
  2. Step 2: Convert to fraction form
    1,309.20/1,806.67 = 711.68/x
  3. Step 3: Cross multiply
    1,309.20x = 1,806.67 × 711.68
  4. Step 4: Simplify right side
    1,309.20x = 1,285,770.91
  5. Step 5: Solve for x
    x = 1,285,770.91/1,309.20
  6. Step 6: Final answer
    x = 982.10

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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.