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Finding the Fourth Proportional to 1,556.80, 2,335.20 and 516.96

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Solution

The fourth proportional to 1,556.80, 2,335.20 and 516.96 is: 775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.80 : 2,335.20 = 516.96 : x
  2. Step 2: Convert to fraction form
    1,556.80/2,335.20 = 516.96/x
  3. Step 3: Cross multiply
    1,556.80x = 2,335.20 × 516.96
  4. Step 4: Simplify right side
    1,556.80x = 1,207,204.99
  5. Step 5: Solve for x
    x = 1,207,204.99/1,556.80
  6. Step 6: Final answer
    x = 775.44

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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.