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Finding the Fourth Proportional to 641.36, 959.82 and 524.44

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Solution

The fourth proportional to 641.36, 959.82 and 524.44 is: 784.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.36 : 959.82 = 524.44 : x
  2. Step 2: Convert to fraction form
    641.36/959.82 = 524.44/x
  3. Step 3: Cross multiply
    641.36x = 959.82 × 524.44
  4. Step 4: Simplify right side
    641.36x = 503,368.00
  5. Step 5: Solve for x
    x = 503,368.00/641.36
  6. Step 6: Final answer
    x = 784.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.