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Finding the Fourth Proportional to 1,315.80, 1,976.49 and 829.19

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Solution

The fourth proportional to 1,315.80, 1,976.49 and 829.19 is: 1,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.80 : 1,976.49 = 829.19 : x
  2. Step 2: Convert to fraction form
    1,315.80/1,976.49 = 829.19/x
  3. Step 3: Cross multiply
    1,315.80x = 1,976.49 × 829.19
  4. Step 4: Simplify right side
    1,315.80x = 1,638,875.86
  5. Step 5: Solve for x
    x = 1,638,875.86/1,315.80
  6. Step 6: Final answer
    x = 1,245.54

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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.