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Finding the Fourth Proportional to 1,291.14, 1,933.07 and 857.43

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Solution

The fourth proportional to 1,291.14, 1,933.07 and 857.43 is: 1,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.14 : 1,933.07 = 857.43 : x
  2. Step 2: Convert to fraction form
    1,291.14/1,933.07 = 857.43/x
  3. Step 3: Cross multiply
    1,291.14x = 1,933.07 × 857.43
  4. Step 4: Simplify right side
    1,291.14x = 1,657,467.92
  5. Step 5: Solve for x
    x = 1,657,467.92/1,291.14
  6. Step 6: Final answer
    x = 1,283.72

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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.