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Finding the Fourth Proportional to 1,238.68, 1,858.14 and 469

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Solution

The fourth proportional to 1,238.68, 1,858.14 and 469 is: 703.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.68 : 1,858.14 = 469 : x
  2. Step 2: Convert to fraction form
    1,238.68/1,858.14 = 469/x
  3. Step 3: Cross multiply
    1,238.68x = 1,858.14 × 469
  4. Step 4: Simplify right side
    1,238.68x = 871,467.66
  5. Step 5: Solve for x
    x = 871,467.66/1,238.68
  6. Step 6: Final answer
    x = 703.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.