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Finding the Fourth Proportional to 690.56, 1,034.14 and 446.34

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Solution

The fourth proportional to 690.56, 1,034.14 and 446.34 is: 668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.56 : 1,034.14 = 446.34 : x
  2. Step 2: Convert to fraction form
    690.56/1,034.14 = 446.34/x
  3. Step 3: Cross multiply
    690.56x = 1,034.14 × 446.34
  4. Step 4: Simplify right side
    690.56x = 461,578.05
  5. Step 5: Solve for x
    x = 461,578.05/690.56
  6. Step 6: Final answer
    x = 668.41

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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.