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Finding the Fourth Proportional to 1,184.29, 1,634.38 and 712.22

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Solution

The fourth proportional to 1,184.29, 1,634.38 and 712.22 is: 982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.29 : 1,634.38 = 712.22 : x
  2. Step 2: Convert to fraction form
    1,184.29/1,634.38 = 712.22/x
  3. Step 3: Cross multiply
    1,184.29x = 1,634.38 × 712.22
  4. Step 4: Simplify right side
    1,184.29x = 1,164,029.95
  5. Step 5: Solve for x
    x = 1,164,029.95/1,184.29
  6. Step 6: Final answer
    x = 982.89

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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.