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Finding the Fourth Proportional to 853.66, 1,177.50 and 504.28

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Solution

The fourth proportional to 853.66, 1,177.50 and 504.28 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.66 : 1,177.50 = 504.28 : x
  2. Step 2: Convert to fraction form
    853.66/1,177.50 = 504.28/x
  3. Step 3: Cross multiply
    853.66x = 1,177.50 × 504.28
  4. Step 4: Simplify right side
    853.66x = 593,789.70
  5. Step 5: Solve for x
    x = 593,789.70/853.66
  6. Step 6: Final answer
    x = 695.58

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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.