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Finding the Fourth Proportional to 1,184, 1,632.32 and 834.08

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Solution

The fourth proportional to 1,184, 1,632.32 and 834.08 is: 1,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184 : 1,632.32 = 834.08 : x
  2. Step 2: Convert to fraction form
    1,184/1,632.32 = 834.08/x
  3. Step 3: Cross multiply
    1,184x = 1,632.32 × 834.08
  4. Step 4: Simplify right side
    1,184x = 1,361,485.47
  5. Step 5: Solve for x
    x = 1,361,485.47/1,184
  6. Step 6: Final answer
    x = 1,149.90

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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.