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Finding the Fourth Proportional to 772.34, 1,063.60 and 632.95

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Solution

The fourth proportional to 772.34, 1,063.60 and 632.95 is: 871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.34 : 1,063.60 = 632.95 : x
  2. Step 2: Convert to fraction form
    772.34/1,063.60 = 632.95/x
  3. Step 3: Cross multiply
    772.34x = 1,063.60 × 632.95
  4. Step 4: Simplify right side
    772.34x = 673,201.38
  5. Step 5: Solve for x
    x = 673,201.38/772.34
  6. Step 6: Final answer
    x = 871.64

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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.