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Finding the Fourth Proportional to 857.25, 1,182.29 and 738.45

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Solution

The fourth proportional to 857.25, 1,182.29 and 738.45 is: 1,018.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,182.29 = 738.45 : x
  2. Step 2: Convert to fraction form
    857.25/1,182.29 = 738.45/x
  3. Step 3: Cross multiply
    857.25x = 1,182.29 × 738.45
  4. Step 4: Simplify right side
    857.25x = 873,058.36
  5. Step 5: Solve for x
    x = 873,058.36/857.25
  6. Step 6: Final answer
    x = 1,018.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.