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Finding the Fourth Proportional to 772.89, 1,164.76 and 695.94

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Solution

The fourth proportional to 772.89, 1,164.76 and 695.94 is: 1,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.89 : 1,164.76 = 695.94 : x
  2. Step 2: Convert to fraction form
    772.89/1,164.76 = 695.94/x
  3. Step 3: Cross multiply
    772.89x = 1,164.76 × 695.94
  4. Step 4: Simplify right side
    772.89x = 810,603.07
  5. Step 5: Solve for x
    x = 810,603.07/772.89
  6. Step 6: Final answer
    x = 1,048.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.