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Finding the Fourth Proportional to 1,184.03, 1,632.31 and 741.63

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Solution

The fourth proportional to 1,184.03, 1,632.31 and 741.63 is: 1,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.03 : 1,632.31 = 741.63 : x
  2. Step 2: Convert to fraction form
    1,184.03/1,632.31 = 741.63/x
  3. Step 3: Cross multiply
    1,184.03x = 1,632.31 × 741.63
  4. Step 4: Simplify right side
    1,184.03x = 1,210,568.21
  5. Step 5: Solve for x
    x = 1,210,568.21/1,184.03
  6. Step 6: Final answer
    x = 1,022.42

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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.