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Finding the Fourth Proportional to 816.86, 1,225.29 and 297.23

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Solution

The fourth proportional to 816.86, 1,225.29 and 297.23 is: 445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.86 : 1,225.29 = 297.23 : x
  2. Step 2: Convert to fraction form
    816.86/1,225.29 = 297.23/x
  3. Step 3: Cross multiply
    816.86x = 1,225.29 × 297.23
  4. Step 4: Simplify right side
    816.86x = 364,186.82
  5. Step 5: Solve for x
    x = 364,186.82/816.86
  6. Step 6: Final answer
    x = 445.84

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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.