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Finding the Fourth Proportional to 1,184.44, 1,632.93 and 829.88

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Solution

The fourth proportional to 1,184.44, 1,632.93 and 829.88 is: 1,144.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.44 : 1,632.93 = 829.88 : x
  2. Step 2: Convert to fraction form
    1,184.44/1,632.93 = 829.88/x
  3. Step 3: Cross multiply
    1,184.44x = 1,632.93 × 829.88
  4. Step 4: Simplify right side
    1,184.44x = 1,355,135.95
  5. Step 5: Solve for x
    x = 1,355,135.95/1,184.44
  6. Step 6: Final answer
    x = 1,144.12

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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.