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Finding the Fourth Proportional to 1,314.43, 1,813.66 and 790.49

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Solution

The fourth proportional to 1,314.43, 1,813.66 and 790.49 is: 1,090.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.43 : 1,813.66 = 790.49 : x
  2. Step 2: Convert to fraction form
    1,314.43/1,813.66 = 790.49/x
  3. Step 3: Cross multiply
    1,314.43x = 1,813.66 × 790.49
  4. Step 4: Simplify right side
    1,314.43x = 1,433,682.65
  5. Step 5: Solve for x
    x = 1,433,682.65/1,314.43
  6. Step 6: Final answer
    x = 1,090.73

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Why These Related Problems?

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