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Finding the Fourth Proportional to 1,480.72, 2,221.88 and 556.90

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Solution

The fourth proportional to 1,480.72, 2,221.88 and 556.90 is: 835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.72 : 2,221.88 = 556.90 : x
  2. Step 2: Convert to fraction form
    1,480.72/2,221.88 = 556.90/x
  3. Step 3: Cross multiply
    1,480.72x = 2,221.88 × 556.90
  4. Step 4: Simplify right side
    1,480.72x = 1,237,364.97
  5. Step 5: Solve for x
    x = 1,237,364.97/1,480.72
  6. Step 6: Final answer
    x = 835.65

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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.