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Finding the Fourth Proportional to 773.33, 1,160.49 and 722.06

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Solution

The fourth proportional to 773.33, 1,160.49 and 722.06 is: 1,083.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.33 : 1,160.49 = 722.06 : x
  2. Step 2: Convert to fraction form
    773.33/1,160.49 = 722.06/x
  3. Step 3: Cross multiply
    773.33x = 1,160.49 × 722.06
  4. Step 4: Simplify right side
    773.33x = 837,946.31
  5. Step 5: Solve for x
    x = 837,946.31/773.33
  6. Step 6: Final answer
    x = 1,083.56

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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.