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Finding the Fourth Proportional to 1,261.77, 1,892.76 and 384.27

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Solution

The fourth proportional to 1,261.77, 1,892.76 and 384.27 is: 576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.77 : 1,892.76 = 384.27 : x
  2. Step 2: Convert to fraction form
    1,261.77/1,892.76 = 384.27/x
  3. Step 3: Cross multiply
    1,261.77x = 1,892.76 × 384.27
  4. Step 4: Simplify right side
    1,261.77x = 727,330.89
  5. Step 5: Solve for x
    x = 727,330.89/1,261.77
  6. Step 6: Final answer
    x = 576.44

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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.