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Finding the Fourth Proportional to 1,259.91, 1,889.61 and 438.22

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Solution

The fourth proportional to 1,259.91, 1,889.61 and 438.22 is: 657.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.91 : 1,889.61 = 438.22 : x
  2. Step 2: Convert to fraction form
    1,259.91/1,889.61 = 438.22/x
  3. Step 3: Cross multiply
    1,259.91x = 1,889.61 × 438.22
  4. Step 4: Simplify right side
    1,259.91x = 828,053.26
  5. Step 5: Solve for x
    x = 828,053.26/1,259.91
  6. Step 6: Final answer
    x = 657.23

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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.