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Finding the Fourth Proportional to 776.75, 1,071.63 and 444.95

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Solution

The fourth proportional to 776.75, 1,071.63 and 444.95 is: 613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.75 : 1,071.63 = 444.95 : x
  2. Step 2: Convert to fraction form
    776.75/1,071.63 = 444.95/x
  3. Step 3: Cross multiply
    776.75x = 1,071.63 × 444.95
  4. Step 4: Simplify right side
    776.75x = 476,821.77
  5. Step 5: Solve for x
    x = 476,821.77/776.75
  6. Step 6: Final answer
    x = 613.87

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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.