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Finding the Fourth Proportional to 1,180.04, 1,628.28 and 732.36

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Solution

The fourth proportional to 1,180.04, 1,628.28 and 732.36 is: 1,010.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.04 : 1,628.28 = 732.36 : x
  2. Step 2: Convert to fraction form
    1,180.04/1,628.28 = 732.36/x
  3. Step 3: Cross multiply
    1,180.04x = 1,628.28 × 732.36
  4. Step 4: Simplify right side
    1,180.04x = 1,192,487.14
  5. Step 5: Solve for x
    x = 1,192,487.14/1,180.04
  6. Step 6: Final answer
    x = 1,010.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.