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Finding the Fourth Proportional to 1,165.70, 1,746.21 and 540.12

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Solution

The fourth proportional to 1,165.70, 1,746.21 and 540.12 is: 809.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.70 : 1,746.21 = 540.12 : x
  2. Step 2: Convert to fraction form
    1,165.70/1,746.21 = 540.12/x
  3. Step 3: Cross multiply
    1,165.70x = 1,746.21 × 540.12
  4. Step 4: Simplify right side
    1,165.70x = 943,162.95
  5. Step 5: Solve for x
    x = 943,162.95/1,165.70
  6. Step 6: Final answer
    x = 809.09

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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.