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Finding the Fourth Proportional to 756.86, 1,135.29 and 209.05

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Solution

The fourth proportional to 756.86, 1,135.29 and 209.05 is: 313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.86 : 1,135.29 = 209.05 : x
  2. Step 2: Convert to fraction form
    756.86/1,135.29 = 209.05/x
  3. Step 3: Cross multiply
    756.86x = 1,135.29 × 209.05
  4. Step 4: Simplify right side
    756.86x = 237,332.37
  5. Step 5: Solve for x
    x = 237,332.37/756.86
  6. Step 6: Final answer
    x = 313.58

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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.