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Finding the Fourth Proportional to 1,805.56, 2,707.38 and 830.81

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Solution

The fourth proportional to 1,805.56, 2,707.38 and 830.81 is: 1,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.56 : 2,707.38 = 830.81 : x
  2. Step 2: Convert to fraction form
    1,805.56/2,707.38 = 830.81/x
  3. Step 3: Cross multiply
    1,805.56x = 2,707.38 × 830.81
  4. Step 4: Simplify right side
    1,805.56x = 2,249,325.15
  5. Step 5: Solve for x
    x = 2,249,325.15/1,805.56
  6. Step 6: Final answer
    x = 1,245.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.