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Finding the Fourth Proportional to 871.55, 1,202.74 and 473.21

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Solution

The fourth proportional to 871.55, 1,202.74 and 473.21 is: 653.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.55 : 1,202.74 = 473.21 : x
  2. Step 2: Convert to fraction form
    871.55/1,202.74 = 473.21/x
  3. Step 3: Cross multiply
    871.55x = 1,202.74 × 473.21
  4. Step 4: Simplify right side
    871.55x = 569,147.01
  5. Step 5: Solve for x
    x = 569,147.01/871.55
  6. Step 6: Final answer
    x = 653.03

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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.