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Finding the Fourth Proportional to 1,027.63, 1,541.13 and 411.01

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Solution

The fourth proportional to 1,027.63, 1,541.13 and 411.01 is: 616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.63 : 1,541.13 = 411.01 : x
  2. Step 2: Convert to fraction form
    1,027.63/1,541.13 = 411.01/x
  3. Step 3: Cross multiply
    1,027.63x = 1,541.13 × 411.01
  4. Step 4: Simplify right side
    1,027.63x = 633,419.84
  5. Step 5: Solve for x
    x = 633,419.84/1,027.63
  6. Step 6: Final answer
    x = 616.39

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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.