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Finding the Fourth Proportional to 772.43, 1,164.56 and 719.57

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Solution

The fourth proportional to 772.43, 1,164.56 and 719.57 is: 1,084.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.43 : 1,164.56 = 719.57 : x
  2. Step 2: Convert to fraction form
    772.43/1,164.56 = 719.57/x
  3. Step 3: Cross multiply
    772.43x = 1,164.56 × 719.57
  4. Step 4: Simplify right side
    772.43x = 837,973.02
  5. Step 5: Solve for x
    x = 837,973.02/772.43
  6. Step 6: Final answer
    x = 1,084.86

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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.