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Finding the Fourth Proportional to 641.73, 963.54 and 524.95

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Solution

The fourth proportional to 641.73, 963.54 and 524.95 is: 788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    641.73 : 963.54 = 524.95 : x
  2. Step 2: Convert to fraction form
    641.73/963.54 = 524.95/x
  3. Step 3: Cross multiply
    641.73x = 963.54 × 524.95
  4. Step 4: Simplify right side
    641.73x = 505,810.32
  5. Step 5: Solve for x
    x = 505,810.32/641.73
  6. Step 6: Final answer
    x = 788.20

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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.