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Finding the Fourth Proportional to 1,361.20, 2,041.58 and 539.24

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Solution

The fourth proportional to 1,361.20, 2,041.58 and 539.24 is: 808.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,361.20 : 2,041.58 = 539.24 : x
  2. Step 2: Convert to fraction form
    1,361.20/2,041.58 = 539.24/x
  3. Step 3: Cross multiply
    1,361.20x = 2,041.58 × 539.24
  4. Step 4: Simplify right side
    1,361.20x = 1,100,901.60
  5. Step 5: Solve for x
    x = 1,100,901.60/1,361.20
  6. Step 6: Final answer
    x = 808.77

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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.