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Finding the Fourth Proportional to 1,369.29, 2,054.48 and 599.25

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Solution

The fourth proportional to 1,369.29, 2,054.48 and 599.25 is: 899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.29 : 2,054.48 = 599.25 : x
  2. Step 2: Convert to fraction form
    1,369.29/2,054.48 = 599.25/x
  3. Step 3: Cross multiply
    1,369.29x = 2,054.48 × 599.25
  4. Step 4: Simplify right side
    1,369.29x = 1,231,144.14
  5. Step 5: Solve for x
    x = 1,231,144.14/1,369.29
  6. Step 6: Final answer
    x = 899.11

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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.