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Finding the Fourth Proportional to 853.54, 1,178.76 and 735.28

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Solution

The fourth proportional to 853.54, 1,178.76 and 735.28 is: 1,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.54 : 1,178.76 = 735.28 : x
  2. Step 2: Convert to fraction form
    853.54/1,178.76 = 735.28/x
  3. Step 3: Cross multiply
    853.54x = 1,178.76 × 735.28
  4. Step 4: Simplify right side
    853.54x = 866,718.65
  5. Step 5: Solve for x
    x = 866,718.65/853.54
  6. Step 6: Final answer
    x = 1,015.44

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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.