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Finding the Fourth Proportional to 1,133.26, 1,700.06 and 516.96

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Solution

The fourth proportional to 1,133.26, 1,700.06 and 516.96 is: 775.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.26 : 1,700.06 = 516.96 : x
  2. Step 2: Convert to fraction form
    1,133.26/1,700.06 = 516.96/x
  3. Step 3: Cross multiply
    1,133.26x = 1,700.06 × 516.96
  4. Step 4: Simplify right side
    1,133.26x = 878,860.43
  5. Step 5: Solve for x
    x = 878,860.43/1,133.26
  6. Step 6: Final answer
    x = 775.52

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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.