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Finding the Fourth Proportional to 641.94, 962.46 and 573.54

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Solution

The fourth proportional to 641.94, 962.46 and 573.54 is: 859.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.94 : 962.46 = 573.54 : x
  2. Step 2: Convert to fraction form
    641.94/962.46 = 573.54/x
  3. Step 3: Cross multiply
    641.94x = 962.46 × 573.54
  4. Step 4: Simplify right side
    641.94x = 552,009.31
  5. Step 5: Solve for x
    x = 552,009.31/641.94
  6. Step 6: Final answer
    x = 859.91

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