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Finding the Fourth Proportional to 1,238.40, 1,709.12 and 1,200.16

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Solution

The fourth proportional to 1,238.40, 1,709.12 and 1,200.16 is: 1,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.40 : 1,709.12 = 1,200.16 : x
  2. Step 2: Convert to fraction form
    1,238.40/1,709.12 = 1,200.16/x
  3. Step 3: Cross multiply
    1,238.40x = 1,709.12 × 1,200.16
  4. Step 4: Simplify right side
    1,238.40x = 2,051,217.46
  5. Step 5: Solve for x
    x = 2,051,217.46/1,238.40
  6. Step 6: Final answer
    x = 1,656.34

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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.