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Finding the Fourth Proportional to 756.26, 1,042.66 and 559.42

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Solution

The fourth proportional to 756.26, 1,042.66 and 559.42 is: 771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.26 : 1,042.66 = 559.42 : x
  2. Step 2: Convert to fraction form
    756.26/1,042.66 = 559.42/x
  3. Step 3: Cross multiply
    756.26x = 1,042.66 × 559.42
  4. Step 4: Simplify right side
    756.26x = 583,284.86
  5. Step 5: Solve for x
    x = 583,284.86/756.26
  6. Step 6: Final answer
    x = 771.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.