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Finding the Fourth Proportional to 823.36, 1,135.88 and 513.04

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Solution

The fourth proportional to 823.36, 1,135.88 and 513.04 is: 707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.36 : 1,135.88 = 513.04 : x
  2. Step 2: Convert to fraction form
    823.36/1,135.88 = 513.04/x
  3. Step 3: Cross multiply
    823.36x = 1,135.88 × 513.04
  4. Step 4: Simplify right side
    823.36x = 582,751.88
  5. Step 5: Solve for x
    x = 582,751.88/823.36
  6. Step 6: Final answer
    x = 707.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.