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Finding the Fourth Proportional to 853.76, 1,178.34 and 504.66

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Solution

The fourth proportional to 853.76, 1,178.34 and 504.66 is: 696.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,178.34 = 504.66 : x
  2. Step 2: Convert to fraction form
    853.76/1,178.34 = 504.66/x
  3. Step 3: Cross multiply
    853.76x = 1,178.34 × 504.66
  4. Step 4: Simplify right side
    853.76x = 594,661.06
  5. Step 5: Solve for x
    x = 594,661.06/853.76
  6. Step 6: Final answer
    x = 696.52

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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.