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Finding the Fourth Proportional to 853.21, 1,177.43 and 499.38

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Solution

The fourth proportional to 853.21, 1,177.43 and 499.38 is: 689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.21 : 1,177.43 = 499.38 : x
  2. Step 2: Convert to fraction form
    853.21/1,177.43 = 499.38/x
  3. Step 3: Cross multiply
    853.21x = 1,177.43 × 499.38
  4. Step 4: Simplify right side
    853.21x = 587,980.89
  5. Step 5: Solve for x
    x = 587,980.89/853.21
  6. Step 6: Final answer
    x = 689.14

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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.