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Finding the Fourth Proportional to 825.33, 1,235.99 and 435.65

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Solution

The fourth proportional to 825.33, 1,235.99 and 435.65 is: 652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.33 : 1,235.99 = 435.65 : x
  2. Step 2: Convert to fraction form
    825.33/1,235.99 = 435.65/x
  3. Step 3: Cross multiply
    825.33x = 1,235.99 × 435.65
  4. Step 4: Simplify right side
    825.33x = 538,459.04
  5. Step 5: Solve for x
    x = 538,459.04/825.33
  6. Step 6: Final answer
    x = 652.42

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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.