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Finding the Fourth Proportional to 1,259.54, 1,889.25 and 382.01

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Solution

The fourth proportional to 1,259.54, 1,889.25 and 382.01 is: 572.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.54 : 1,889.25 = 382.01 : x
  2. Step 2: Convert to fraction form
    1,259.54/1,889.25 = 382.01/x
  3. Step 3: Cross multiply
    1,259.54x = 1,889.25 × 382.01
  4. Step 4: Simplify right side
    1,259.54x = 721,702.95
  5. Step 5: Solve for x
    x = 721,702.95/1,259.54
  6. Step 6: Final answer
    x = 572.99

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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.