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Finding the Fourth Proportional to 1,173.53, 1,618.94 and 675.98

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Solution

The fourth proportional to 1,173.53, 1,618.94 and 675.98 is: 932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.53 : 1,618.94 = 675.98 : x
  2. Step 2: Convert to fraction form
    1,173.53/1,618.94 = 675.98/x
  3. Step 3: Cross multiply
    1,173.53x = 1,618.94 × 675.98
  4. Step 4: Simplify right side
    1,173.53x = 1,094,359.59
  5. Step 5: Solve for x
    x = 1,094,359.59/1,173.53
  6. Step 6: Final answer
    x = 932.54

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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.