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Finding the Fourth Proportional to 1,260.00, 1,889.38 and 382.34

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Solution

The fourth proportional to 1,260.00, 1,889.38 and 382.34 is: 573.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.00 : 1,889.38 = 382.34 : x
  2. Step 2: Convert to fraction form
    1,260.00/1,889.38 = 382.34/x
  3. Step 3: Cross multiply
    1,260.00x = 1,889.38 × 382.34
  4. Step 4: Simplify right side
    1,260.00x = 722,374.19
  5. Step 5: Solve for x
    x = 722,374.19/1,260.00
  6. Step 6: Final answer
    x = 573.32

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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.