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Finding the Fourth Proportional to 1,160.59, 1,741.29 and 511.38

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Solution

The fourth proportional to 1,160.59, 1,741.29 and 511.38 is: 767.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.59 : 1,741.29 = 511.38 : x
  2. Step 2: Convert to fraction form
    1,160.59/1,741.29 = 511.38/x
  3. Step 3: Cross multiply
    1,160.59x = 1,741.29 × 511.38
  4. Step 4: Simplify right side
    1,160.59x = 890,460.88
  5. Step 5: Solve for x
    x = 890,460.88/1,160.59
  6. Step 6: Final answer
    x = 767.25

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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.