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Finding the Fourth Proportional to 1,160.52, 1,741.03 and 338.82

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Solution

The fourth proportional to 1,160.52, 1,741.03 and 338.82 is: 508.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.52 : 1,741.03 = 338.82 : x
  2. Step 2: Convert to fraction form
    1,160.52/1,741.03 = 338.82/x
  3. Step 3: Cross multiply
    1,160.52x = 1,741.03 × 338.82
  4. Step 4: Simplify right side
    1,160.52x = 589,895.78
  5. Step 5: Solve for x
    x = 589,895.78/1,160.52
  6. Step 6: Final answer
    x = 508.30

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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.