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Finding the Fourth Proportional to 1,173.56, 1,618.62 and 731.48

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Solution

The fourth proportional to 1,173.56, 1,618.62 and 731.48 is: 1,008.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.56 : 1,618.62 = 731.48 : x
  2. Step 2: Convert to fraction form
    1,173.56/1,618.62 = 731.48/x
  3. Step 3: Cross multiply
    1,173.56x = 1,618.62 × 731.48
  4. Step 4: Simplify right side
    1,173.56x = 1,183,988.16
  5. Step 5: Solve for x
    x = 1,183,988.16/1,173.56
  6. Step 6: Final answer
    x = 1,008.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.