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Finding the Fourth Proportional to 1,315.83, 1,976.52 and 829.22

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Solution

The fourth proportional to 1,315.83, 1,976.52 and 829.22 is: 1,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.83 : 1,976.52 = 829.22 : x
  2. Step 2: Convert to fraction form
    1,315.83/1,976.52 = 829.22/x
  3. Step 3: Cross multiply
    1,315.83x = 1,976.52 × 829.22
  4. Step 4: Simplify right side
    1,315.83x = 1,638,960.03
  5. Step 5: Solve for x
    x = 1,638,960.03/1,315.83
  6. Step 6: Final answer
    x = 1,245.57

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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.