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Finding the Fourth Proportional to 1,085.47, 1,627.57 and 955.73

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Solution

The fourth proportional to 1,085.47, 1,627.57 and 955.73 is: 1,433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.47 : 1,627.57 = 955.73 : x
  2. Step 2: Convert to fraction form
    1,085.47/1,627.57 = 955.73/x
  3. Step 3: Cross multiply
    1,085.47x = 1,627.57 × 955.73
  4. Step 4: Simplify right side
    1,085.47x = 1,555,509.34
  5. Step 5: Solve for x
    x = 1,555,509.34/1,085.47
  6. Step 6: Final answer
    x = 1,433.04

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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.