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Finding the Fourth Proportional to 1,027.04, 1,541.08 and 411.04

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Solution

The fourth proportional to 1,027.04, 1,541.08 and 411.04 is: 616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.04 : 1,541.08 = 411.04 : x
  2. Step 2: Convert to fraction form
    1,027.04/1,541.08 = 411.04/x
  3. Step 3: Cross multiply
    1,027.04x = 1,541.08 × 411.04
  4. Step 4: Simplify right side
    1,027.04x = 633,445.52
  5. Step 5: Solve for x
    x = 633,445.52/1,027.04
  6. Step 6: Final answer
    x = 616.77

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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.