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Finding the Fourth Proportional to 853.20, 1,178.08 and 688.20

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Solution

The fourth proportional to 853.20, 1,178.08 and 688.20 is: 950.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.20 : 1,178.08 = 688.20 : x
  2. Step 2: Convert to fraction form
    853.20/1,178.08 = 688.20/x
  3. Step 3: Cross multiply
    853.20x = 1,178.08 × 688.20
  4. Step 4: Simplify right side
    853.20x = 810,754.66
  5. Step 5: Solve for x
    x = 810,754.66/853.20
  6. Step 6: Final answer
    x = 950.25

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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.