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Finding the Fourth Proportional to 823.32, 1,234.66 and 275.35

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Solution

The fourth proportional to 823.32, 1,234.66 and 275.35 is: 412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.32 : 1,234.66 = 275.35 : x
  2. Step 2: Convert to fraction form
    823.32/1,234.66 = 275.35/x
  3. Step 3: Cross multiply
    823.32x = 1,234.66 × 275.35
  4. Step 4: Simplify right side
    823.32x = 339,963.63
  5. Step 5: Solve for x
    x = 339,963.63/823.32
  6. Step 6: Final answer
    x = 412.92

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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.