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Finding the Fourth Proportional to 1,556.58, 2,334.30 and 516.39

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Solution

The fourth proportional to 1,556.58, 2,334.30 and 516.39 is: 774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.58 : 2,334.30 = 516.39 : x
  2. Step 2: Convert to fraction form
    1,556.58/2,334.30 = 516.39/x
  3. Step 3: Cross multiply
    1,556.58x = 2,334.30 × 516.39
  4. Step 4: Simplify right side
    1,556.58x = 1,205,409.18
  5. Step 5: Solve for x
    x = 1,205,409.18/1,556.58
  6. Step 6: Final answer
    x = 774.40

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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.