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Finding the Fourth Proportional to 823.62, 1,235.56 and 412.34

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Solution

The fourth proportional to 823.62, 1,235.56 and 412.34 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.62 : 1,235.56 = 412.34 : x
  2. Step 2: Convert to fraction form
    823.62/1,235.56 = 412.34/x
  3. Step 3: Cross multiply
    823.62x = 1,235.56 × 412.34
  4. Step 4: Simplify right side
    823.62x = 509,470.81
  5. Step 5: Solve for x
    x = 509,470.81/823.62
  6. Step 6: Final answer
    x = 618.58

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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.