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Finding the Fourth Proportional to 1,238.36, 1,857.90 and 589.64

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Solution

The fourth proportional to 1,238.36, 1,857.90 and 589.64 is: 884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.36 : 1,857.90 = 589.64 : x
  2. Step 2: Convert to fraction form
    1,238.36/1,857.90 = 589.64/x
  3. Step 3: Cross multiply
    1,238.36x = 1,857.90 × 589.64
  4. Step 4: Simplify right side
    1,238.36x = 1,095,492.16
  5. Step 5: Solve for x
    x = 1,095,492.16/1,238.36
  6. Step 6: Final answer
    x = 884.63

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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.