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Finding the Fourth Proportional to 811.72, 1,120.00 and 480.25

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Solution

The fourth proportional to 811.72, 1,120.00 and 480.25 is: 662.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.72 : 1,120.00 = 480.25 : x
  2. Step 2: Convert to fraction form
    811.72/1,120.00 = 480.25/x
  3. Step 3: Cross multiply
    811.72x = 1,120.00 × 480.25
  4. Step 4: Simplify right side
    811.72x = 537,885.60
  5. Step 5: Solve for x
    x = 537,885.60/811.72
  6. Step 6: Final answer
    x = 662.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.