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Finding the Fourth Proportional to 1,556.37, 2,334.21 and 460.49

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Solution

The fourth proportional to 1,556.37, 2,334.21 and 460.49 is: 690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.37 : 2,334.21 = 460.49 : x
  2. Step 2: Convert to fraction form
    1,556.37/2,334.21 = 460.49/x
  3. Step 3: Cross multiply
    1,556.37x = 2,334.21 × 460.49
  4. Step 4: Simplify right side
    1,556.37x = 1,074,868.69
  5. Step 5: Solve for x
    x = 1,074,868.69/1,556.37
  6. Step 6: Final answer
    x = 690.63

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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.