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Finding the Fourth Proportional to 690.10, 1,034.43 and 343.06

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Solution

The fourth proportional to 690.10, 1,034.43 and 343.06 is: 514.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.10 : 1,034.43 = 343.06 : x
  2. Step 2: Convert to fraction form
    690.10/1,034.43 = 343.06/x
  3. Step 3: Cross multiply
    690.10x = 1,034.43 × 343.06
  4. Step 4: Simplify right side
    690.10x = 354,871.56
  5. Step 5: Solve for x
    x = 354,871.56/690.10
  6. Step 6: Final answer
    x = 514.23

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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.