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Finding the Fourth Proportional to 1,381.56, 2,071.99 and 559.59

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Solution

The fourth proportional to 1,381.56, 2,071.99 and 559.59 is: 839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.56 : 2,071.99 = 559.59 : x
  2. Step 2: Convert to fraction form
    1,381.56/2,071.99 = 559.59/x
  3. Step 3: Cross multiply
    1,381.56x = 2,071.99 × 559.59
  4. Step 4: Simplify right side
    1,381.56x = 1,159,464.88
  5. Step 5: Solve for x
    x = 1,159,464.88/1,381.56
  6. Step 6: Final answer
    x = 839.24

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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.