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Finding the Fourth Proportional to 1,238.63, 1,858.14 and 589.14

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Solution

The fourth proportional to 1,238.63, 1,858.14 and 589.14 is: 883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.63 : 1,858.14 = 589.14 : x
  2. Step 2: Convert to fraction form
    1,238.63/1,858.14 = 589.14/x
  3. Step 3: Cross multiply
    1,238.63x = 1,858.14 × 589.14
  4. Step 4: Simplify right side
    1,238.63x = 1,094,701.65
  5. Step 5: Solve for x
    x = 1,094,701.65/1,238.63
  6. Step 6: Final answer
    x = 883.80

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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.