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Finding the Fourth Proportional to 908.86, 1,362.36 and 543.82

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Solution

The fourth proportional to 908.86, 1,362.36 and 543.82 is: 815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    908.86 : 1,362.36 = 543.82 : x
  2. Step 2: Convert to fraction form
    908.86/1,362.36 = 543.82/x
  3. Step 3: Cross multiply
    908.86x = 1,362.36 × 543.82
  4. Step 4: Simplify right side
    908.86x = 740,878.62
  5. Step 5: Solve for x
    x = 740,878.62/908.86
  6. Step 6: Final answer
    x = 815.17

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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.