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Finding the Fourth Proportional to 1,314.57, 1,814.67 and 790.50

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Solution

The fourth proportional to 1,314.57, 1,814.67 and 790.50 is: 1,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.57 : 1,814.67 = 790.50 : x
  2. Step 2: Convert to fraction form
    1,314.57/1,814.67 = 790.50/x
  3. Step 3: Cross multiply
    1,314.57x = 1,814.67 × 790.50
  4. Step 4: Simplify right side
    1,314.57x = 1,434,496.64
  5. Step 5: Solve for x
    x = 1,434,496.64/1,314.57
  6. Step 6: Final answer
    x = 1,091.23

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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.