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Finding the Fourth Proportional to 838.68, 1,258.83 and 406.14

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Solution

The fourth proportional to 838.68, 1,258.83 and 406.14 is: 609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.68 : 1,258.83 = 406.14 : x
  2. Step 2: Convert to fraction form
    838.68/1,258.83 = 406.14/x
  3. Step 3: Cross multiply
    838.68x = 1,258.83 × 406.14
  4. Step 4: Simplify right side
    838.68x = 511,261.22
  5. Step 5: Solve for x
    x = 511,261.22/838.68
  6. Step 6: Final answer
    x = 609.60

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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.