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Finding the Fourth Proportional to 1,261.48, 1,891.46 and 383.72

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Solution

The fourth proportional to 1,261.48, 1,891.46 and 383.72 is: 575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.48 : 1,891.46 = 383.72 : x
  2. Step 2: Convert to fraction form
    1,261.48/1,891.46 = 383.72/x
  3. Step 3: Cross multiply
    1,261.48x = 1,891.46 × 383.72
  4. Step 4: Simplify right side
    1,261.48x = 725,791.03
  5. Step 5: Solve for x
    x = 725,791.03/1,261.48
  6. Step 6: Final answer
    x = 575.35

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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.