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Finding the Fourth Proportional to 1,184.47, 1,632.80 and 759.04

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Solution

The fourth proportional to 1,184.47, 1,632.80 and 759.04 is: 1,046.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.47 : 1,632.80 = 759.04 : x
  2. Step 2: Convert to fraction form
    1,184.47/1,632.80 = 759.04/x
  3. Step 3: Cross multiply
    1,184.47x = 1,632.80 × 759.04
  4. Step 4: Simplify right side
    1,184.47x = 1,239,358.33
  5. Step 5: Solve for x
    x = 1,239,358.33/1,184.47
  6. Step 6: Final answer
    x = 1,046.34

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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.