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Finding the Fourth Proportional to 1,259.74, 1,889.97 and 394.06

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Solution

The fourth proportional to 1,259.74, 1,889.97 and 394.06 is: 591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.74 : 1,889.97 = 394.06 : x
  2. Step 2: Convert to fraction form
    1,259.74/1,889.97 = 394.06/x
  3. Step 3: Cross multiply
    1,259.74x = 1,889.97 × 394.06
  4. Step 4: Simplify right side
    1,259.74x = 744,761.58
  5. Step 5: Solve for x
    x = 744,761.58/1,259.74
  6. Step 6: Final answer
    x = 591.20

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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.