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Finding the Fourth Proportional to 853.76, 1,178.04 and 480.70

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Solution

The fourth proportional to 853.76, 1,178.04 and 480.70 is: 663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.76 : 1,178.04 = 480.70 : x
  2. Step 2: Convert to fraction form
    853.76/1,178.04 = 480.70/x
  3. Step 3: Cross multiply
    853.76x = 1,178.04 × 480.70
  4. Step 4: Simplify right side
    853.76x = 566,283.83
  5. Step 5: Solve for x
    x = 566,283.83/853.76
  6. Step 6: Final answer
    x = 663.28

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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.