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Finding the Fourth Proportional to 1,156.30, 1,735.49 and 540.36

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Solution

The fourth proportional to 1,156.30, 1,735.49 and 540.36 is: 811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.30 : 1,735.49 = 540.36 : x
  2. Step 2: Convert to fraction form
    1,156.30/1,735.49 = 540.36/x
  3. Step 3: Cross multiply
    1,156.30x = 1,735.49 × 540.36
  4. Step 4: Simplify right side
    1,156.30x = 937,790.73
  5. Step 5: Solve for x
    x = 937,790.73/1,156.30
  6. Step 6: Final answer
    x = 811.03

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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.