Home / 1,184.13-1,632.82-829.93

Finding the Fourth Proportional to 1,184.13, 1,632.82 and 829.93

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Solution

The fourth proportional to 1,184.13, 1,632.82 and 829.93 is: 1,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.13 : 1,632.82 = 829.93 : x
  2. Step 2: Convert to fraction form
    1,184.13/1,632.82 = 829.93/x
  3. Step 3: Cross multiply
    1,184.13x = 1,632.82 × 829.93
  4. Step 4: Simplify right side
    1,184.13x = 1,355,126.30
  5. Step 5: Solve for x
    x = 1,355,126.30/1,184.13
  6. Step 6: Final answer
    x = 1,144.41

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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.