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Finding the Fourth Proportional to 871.97, 1,203.33 and 479.00

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Solution

The fourth proportional to 871.97, 1,203.33 and 479.00 is: 661.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.97 : 1,203.33 = 479.00 : x
  2. Step 2: Convert to fraction form
    871.97/1,203.33 = 479.00/x
  3. Step 3: Cross multiply
    871.97x = 1,203.33 × 479.00
  4. Step 4: Simplify right side
    871.97x = 576,388.75
  5. Step 5: Solve for x
    x = 576,388.75/871.97
  6. Step 6: Final answer
    x = 661.02

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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.