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Finding the Fourth Proportional to 838.76, 1,258.00 and 261.63

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Solution

The fourth proportional to 838.76, 1,258.00 and 261.63 is: 392.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.76 : 1,258.00 = 261.63 : x
  2. Step 2: Convert to fraction form
    838.76/1,258.00 = 261.63/x
  3. Step 3: Cross multiply
    838.76x = 1,258.00 × 261.63
  4. Step 4: Simplify right side
    838.76x = 329,129.89
  5. Step 5: Solve for x
    x = 329,129.89/838.76
  6. Step 6: Final answer
    x = 392.40

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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.