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Finding the Fourth Proportional to 1,027.86, 1,542.10 and 480.36

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Solution

The fourth proportional to 1,027.86, 1,542.10 and 480.36 is: 720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.86 : 1,542.10 = 480.36 : x
  2. Step 2: Convert to fraction form
    1,027.86/1,542.10 = 480.36/x
  3. Step 3: Cross multiply
    1,027.86x = 1,542.10 × 480.36
  4. Step 4: Simplify right side
    1,027.86x = 740,763.16
  5. Step 5: Solve for x
    x = 740,763.16/1,027.86
  6. Step 6: Final answer
    x = 720.68

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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.