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Finding the Fourth Proportional to 1,039.75, 1,559.30 and 346.23

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Solution

The fourth proportional to 1,039.75, 1,559.30 and 346.23 is: 519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.75 : 1,559.30 = 346.23 : x
  2. Step 2: Convert to fraction form
    1,039.75/1,559.30 = 346.23/x
  3. Step 3: Cross multiply
    1,039.75x = 1,559.30 × 346.23
  4. Step 4: Simplify right side
    1,039.75x = 539,876.44
  5. Step 5: Solve for x
    x = 539,876.44/1,039.75
  6. Step 6: Final answer
    x = 519.24

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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.