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Finding the Fourth Proportional to 1,028.19, 1,541.03 and 540.93

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Solution

The fourth proportional to 1,028.19, 1,541.03 and 540.93 is: 810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.19 : 1,541.03 = 540.93 : x
  2. Step 2: Convert to fraction form
    1,028.19/1,541.03 = 540.93/x
  3. Step 3: Cross multiply
    1,028.19x = 1,541.03 × 540.93
  4. Step 4: Simplify right side
    1,028.19x = 833,586.65
  5. Step 5: Solve for x
    x = 833,586.65/1,028.19
  6. Step 6: Final answer
    x = 810.73

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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.