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Finding the Fourth Proportional to 853.84, 1,178.36 and 499.84

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Solution

The fourth proportional to 853.84, 1,178.36 and 499.84 is: 689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.84 : 1,178.36 = 499.84 : x
  2. Step 2: Convert to fraction form
    853.84/1,178.36 = 499.84/x
  3. Step 3: Cross multiply
    853.84x = 1,178.36 × 499.84
  4. Step 4: Simplify right side
    853.84x = 588,991.46
  5. Step 5: Solve for x
    x = 588,991.46/853.84
  6. Step 6: Final answer
    x = 689.81

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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.