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Finding the Fourth Proportional to 1,471.60, 2,206.83 and 593.80

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Solution

The fourth proportional to 1,471.60, 2,206.83 and 593.80 is: 890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.60 : 2,206.83 = 593.80 : x
  2. Step 2: Convert to fraction form
    1,471.60/2,206.83 = 593.80/x
  3. Step 3: Cross multiply
    1,471.60x = 2,206.83 × 593.80
  4. Step 4: Simplify right side
    1,471.60x = 1,310,415.65
  5. Step 5: Solve for x
    x = 1,310,415.65/1,471.60
  6. Step 6: Final answer
    x = 890.47

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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.