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Finding the Fourth Proportional to 1,039.75, 1,559.72 and 270.25

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Solution

The fourth proportional to 1,039.75, 1,559.72 and 270.25 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.75 : 1,559.72 = 270.25 : x
  2. Step 2: Convert to fraction form
    1,039.75/1,559.72 = 270.25/x
  3. Step 3: Cross multiply
    1,039.75x = 1,559.72 × 270.25
  4. Step 4: Simplify right side
    1,039.75x = 421,514.33
  5. Step 5: Solve for x
    x = 421,514.33/1,039.75
  6. Step 6: Final answer
    x = 405.40

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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.