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Finding the Fourth Proportional to 690.24, 1,033.23 and 400.80

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Solution

The fourth proportional to 690.24, 1,033.23 and 400.80 is: 599.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.24 : 1,033.23 = 400.80 : x
  2. Step 2: Convert to fraction form
    690.24/1,033.23 = 400.80/x
  3. Step 3: Cross multiply
    690.24x = 1,033.23 × 400.80
  4. Step 4: Simplify right side
    690.24x = 414,118.58
  5. Step 5: Solve for x
    x = 414,118.58/690.24
  6. Step 6: Final answer
    x = 599.96

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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.