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Finding the Fourth Proportional to 690.46, 1,034.09 and 415.95

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Solution

The fourth proportional to 690.46, 1,034.09 and 415.95 is: 622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.46 : 1,034.09 = 415.95 : x
  2. Step 2: Convert to fraction form
    690.46/1,034.09 = 415.95/x
  3. Step 3: Cross multiply
    690.46x = 1,034.09 × 415.95
  4. Step 4: Simplify right side
    690.46x = 430,129.74
  5. Step 5: Solve for x
    x = 430,129.74/690.46
  6. Step 6: Final answer
    x = 622.96

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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.