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Finding the Fourth Proportional to 1,315.79, 1,814.52 and 843.15

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Solution

The fourth proportional to 1,315.79, 1,814.52 and 843.15 is: 1,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.79 : 1,814.52 = 843.15 : x
  2. Step 2: Convert to fraction form
    1,315.79/1,814.52 = 843.15/x
  3. Step 3: Cross multiply
    1,315.79x = 1,814.52 × 843.15
  4. Step 4: Simplify right side
    1,315.79x = 1,529,908.32
  5. Step 5: Solve for x
    x = 1,529,908.32/1,315.79
  6. Step 6: Final answer
    x = 1,162.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.