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Finding the Fourth Proportional to 690.14, 1,035.75 and 343.46

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Solution

The fourth proportional to 690.14, 1,035.75 and 343.46 is: 515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.14 : 1,035.75 = 343.46 : x
  2. Step 2: Convert to fraction form
    690.14/1,035.75 = 343.46/x
  3. Step 3: Cross multiply
    690.14x = 1,035.75 × 343.46
  4. Step 4: Simplify right side
    690.14x = 355,733.52
  5. Step 5: Solve for x
    x = 355,733.52/690.14
  6. Step 6: Final answer
    x = 515.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.