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Finding the Fourth Proportional to 1,556.26, 2,334.38 and 460.48

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Solution

The fourth proportional to 1,556.26, 2,334.38 and 460.48 is: 690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.26 : 2,334.38 = 460.48 : x
  2. Step 2: Convert to fraction form
    1,556.26/2,334.38 = 460.48/x
  3. Step 3: Cross multiply
    1,556.26x = 2,334.38 × 460.48
  4. Step 4: Simplify right side
    1,556.26x = 1,074,930.62
  5. Step 5: Solve for x
    x = 1,074,930.62/1,556.26
  6. Step 6: Final answer
    x = 690.72

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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.