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Finding the Fourth Proportional to 776.25, 1,164.51 and 581.58

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Solution

The fourth proportional to 776.25, 1,164.51 and 581.58 is: 872.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.25 : 1,164.51 = 581.58 : x
  2. Step 2: Convert to fraction form
    776.25/1,164.51 = 581.58/x
  3. Step 3: Cross multiply
    776.25x = 1,164.51 × 581.58
  4. Step 4: Simplify right side
    776.25x = 677,255.73
  5. Step 5: Solve for x
    x = 677,255.73/776.25
  6. Step 6: Final answer
    x = 872.47

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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.