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Finding the Fourth Proportional to 1,259.26, 1,889.09 and 438.02

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Solution

The fourth proportional to 1,259.26, 1,889.09 and 438.02 is: 657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.26 : 1,889.09 = 438.02 : x
  2. Step 2: Convert to fraction form
    1,259.26/1,889.09 = 438.02/x
  3. Step 3: Cross multiply
    1,259.26x = 1,889.09 × 438.02
  4. Step 4: Simplify right side
    1,259.26x = 827,456.29
  5. Step 5: Solve for x
    x = 827,456.29/1,259.26
  6. Step 6: Final answer
    x = 657.10

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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.