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Finding the Fourth Proportional to 1,027.83, 1,542.66 and 480.33

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Solution

The fourth proportional to 1,027.83, 1,542.66 and 480.33 is: 720.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.83 : 1,542.66 = 480.33 : x
  2. Step 2: Convert to fraction form
    1,027.83/1,542.66 = 480.33/x
  3. Step 3: Cross multiply
    1,027.83x = 1,542.66 × 480.33
  4. Step 4: Simplify right side
    1,027.83x = 740,985.88
  5. Step 5: Solve for x
    x = 740,985.88/1,027.83
  6. Step 6: Final answer
    x = 720.92

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1.5x scale

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.