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Finding the Fourth Proportional to 1,238.52, 1,709.70 and 790.98

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Solution

The fourth proportional to 1,238.52, 1,709.70 and 790.98 is: 1,091.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.52 : 1,709.70 = 790.98 : x
  2. Step 2: Convert to fraction form
    1,238.52/1,709.70 = 790.98/x
  3. Step 3: Cross multiply
    1,238.52x = 1,709.70 × 790.98
  4. Step 4: Simplify right side
    1,238.52x = 1,352,338.51
  5. Step 5: Solve for x
    x = 1,352,338.51/1,238.52
  6. Step 6: Final answer
    x = 1,091.90

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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.