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Finding the Fourth Proportional to 1,156.20, 1,733.59 and 540.04

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Solution

The fourth proportional to 1,156.20, 1,733.59 and 540.04 is: 809.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.20 : 1,733.59 = 540.04 : x
  2. Step 2: Convert to fraction form
    1,156.20/1,733.59 = 540.04/x
  3. Step 3: Cross multiply
    1,156.20x = 1,733.59 × 540.04
  4. Step 4: Simplify right side
    1,156.20x = 936,207.94
  5. Step 5: Solve for x
    x = 936,207.94/1,156.20
  6. Step 6: Final answer
    x = 809.73

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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.