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Finding the Fourth Proportional to 822.65, 1,135.34 and 486.66

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Solution

The fourth proportional to 822.65, 1,135.34 and 486.66 is: 671.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.65 : 1,135.34 = 486.66 : x
  2. Step 2: Convert to fraction form
    822.65/1,135.34 = 486.66/x
  3. Step 3: Cross multiply
    822.65x = 1,135.34 × 486.66
  4. Step 4: Simplify right side
    822.65x = 552,524.56
  5. Step 5: Solve for x
    x = 552,524.56/822.65
  6. Step 6: Final answer
    x = 671.64

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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.