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Finding the Fourth Proportional to 1,160.78, 1,741.10 and 543.62

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Solution

The fourth proportional to 1,160.78, 1,741.10 and 543.62 is: 815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.78 : 1,741.10 = 543.62 : x
  2. Step 2: Convert to fraction form
    1,160.78/1,741.10 = 543.62/x
  3. Step 3: Cross multiply
    1,160.78x = 1,741.10 × 543.62
  4. Step 4: Simplify right side
    1,160.78x = 946,496.78
  5. Step 5: Solve for x
    x = 946,496.78/1,160.78
  6. Step 6: Final answer
    x = 815.40

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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.