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Finding the Fourth Proportional to 1,039.54, 1,559.31 and 270.04

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Solution

The fourth proportional to 1,039.54, 1,559.31 and 270.04 is: 405.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.54 : 1,559.31 = 270.04 : x
  2. Step 2: Convert to fraction form
    1,039.54/1,559.31 = 270.04/x
  3. Step 3: Cross multiply
    1,039.54x = 1,559.31 × 270.04
  4. Step 4: Simplify right side
    1,039.54x = 421,066.93
  5. Step 5: Solve for x
    x = 421,066.93/1,039.54
  6. Step 6: Final answer
    x = 405.05

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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.