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Finding the Fourth Proportional to 1,172.56, 1,618.32 and 675.28

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Solution

The fourth proportional to 1,172.56, 1,618.32 and 675.28 is: 931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.56 : 1,618.32 = 675.28 : x
  2. Step 2: Convert to fraction form
    1,172.56/1,618.32 = 675.28/x
  3. Step 3: Cross multiply
    1,172.56x = 1,618.32 × 675.28
  4. Step 4: Simplify right side
    1,172.56x = 1,092,819.13
  5. Step 5: Solve for x
    x = 1,092,819.13/1,172.56
  6. Step 6: Final answer
    x = 931.99

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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.