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Finding the Fourth Proportional to 1,085.45, 1,629.54 and 501.03

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Solution

The fourth proportional to 1,085.45, 1,629.54 and 501.03 is: 752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.45 : 1,629.54 = 501.03 : x
  2. Step 2: Convert to fraction form
    1,085.45/1,629.54 = 501.03/x
  3. Step 3: Cross multiply
    1,085.45x = 1,629.54 × 501.03
  4. Step 4: Simplify right side
    1,085.45x = 816,448.43
  5. Step 5: Solve for x
    x = 816,448.43/1,085.45
  6. Step 6: Final answer
    x = 752.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.