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Finding the Fourth Proportional to 1,395.15, 2,091.69 and 573.81

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Solution

The fourth proportional to 1,395.15, 2,091.69 and 573.81 is: 860.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.15 : 2,091.69 = 573.81 : x
  2. Step 2: Convert to fraction form
    1,395.15/2,091.69 = 573.81/x
  3. Step 3: Cross multiply
    1,395.15x = 2,091.69 × 573.81
  4. Step 4: Simplify right side
    1,395.15x = 1,200,232.64
  5. Step 5: Solve for x
    x = 1,200,232.64/1,395.15
  6. Step 6: Final answer
    x = 860.29

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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.