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Finding the Fourth Proportional to 871.00, 1,201.97 and 478.02

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Solution

The fourth proportional to 871.00, 1,201.97 and 478.02 is: 659.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.00 : 1,201.97 = 478.02 : x
  2. Step 2: Convert to fraction form
    871.00/1,201.97 = 478.02/x
  3. Step 3: Cross multiply
    871.00x = 1,201.97 × 478.02
  4. Step 4: Simplify right side
    871.00x = 574,564.64
  5. Step 5: Solve for x
    x = 574,564.64/871.00
  6. Step 6: Final answer
    x = 659.66

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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.