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Finding the Fourth Proportional to 690.33, 1,033.65 and 416.04

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Solution

The fourth proportional to 690.33, 1,033.65 and 416.04 is: 622.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.33 : 1,033.65 = 416.04 : x
  2. Step 2: Convert to fraction form
    690.33/1,033.65 = 416.04/x
  3. Step 3: Cross multiply
    690.33x = 1,033.65 × 416.04
  4. Step 4: Simplify right side
    690.33x = 430,039.75
  5. Step 5: Solve for x
    x = 430,039.75/690.33
  6. Step 6: Final answer
    x = 622.95

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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.