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Finding the Fourth Proportional to 838.93, 1,258.91 and 427.84

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Solution

The fourth proportional to 838.93, 1,258.91 and 427.84 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.93 : 1,258.91 = 427.84 : x
  2. Step 2: Convert to fraction form
    838.93/1,258.91 = 427.84/x
  3. Step 3: Cross multiply
    838.93x = 1,258.91 × 427.84
  4. Step 4: Simplify right side
    838.93x = 538,612.05
  5. Step 5: Solve for x
    x = 538,612.05/838.93
  6. Step 6: Final answer
    x = 642.02

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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.