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Finding the Fourth Proportional to 690.99, 1,036.92 and 366.57

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Solution

The fourth proportional to 690.99, 1,036.92 and 366.57 is: 550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.99 : 1,036.92 = 366.57 : x
  2. Step 2: Convert to fraction form
    690.99/1,036.92 = 366.57/x
  3. Step 3: Cross multiply
    690.99x = 1,036.92 × 366.57
  4. Step 4: Simplify right side
    690.99x = 380,103.76
  5. Step 5: Solve for x
    x = 380,103.76/690.99
  6. Step 6: Final answer
    x = 550.09

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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.