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Finding the Fourth Proportional to 1,028.12, 1,541.03 and 410.96

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Solution

The fourth proportional to 1,028.12, 1,541.03 and 410.96 is: 615.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.12 : 1,541.03 = 410.96 : x
  2. Step 2: Convert to fraction form
    1,028.12/1,541.03 = 410.96/x
  3. Step 3: Cross multiply
    1,028.12x = 1,541.03 × 410.96
  4. Step 4: Simplify right side
    1,028.12x = 633,303.49
  5. Step 5: Solve for x
    x = 633,303.49/1,028.12
  6. Step 6: Final answer
    x = 615.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.