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Finding the Fourth Proportional to 1,172.71, 1,618.75 and 675.55

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Solution

The fourth proportional to 1,172.71, 1,618.75 and 675.55 is: 932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.71 : 1,618.75 = 675.55 : x
  2. Step 2: Convert to fraction form
    1,172.71/1,618.75 = 675.55/x
  3. Step 3: Cross multiply
    1,172.71x = 1,618.75 × 675.55
  4. Step 4: Simplify right side
    1,172.71x = 1,093,551.33
  5. Step 5: Solve for x
    x = 1,093,551.33/1,172.71
  6. Step 6: Final answer
    x = 932.50

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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.