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Finding the Fourth Proportional to 756.82, 1,135.15 and 209.08

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Solution

The fourth proportional to 756.82, 1,135.15 and 209.08 is: 313.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.82 : 1,135.15 = 209.08 : x
  2. Step 2: Convert to fraction form
    756.82/1,135.15 = 209.08/x
  3. Step 3: Cross multiply
    756.82x = 1,135.15 × 209.08
  4. Step 4: Simplify right side
    756.82x = 237,337.16
  5. Step 5: Solve for x
    x = 237,337.16/756.82
  6. Step 6: Final answer
    x = 313.60

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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.