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Finding the Fourth Proportional to 871.94, 1,203.33 and 499.04

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Solution

The fourth proportional to 871.94, 1,203.33 and 499.04 is: 688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.94 : 1,203.33 = 499.04 : x
  2. Step 2: Convert to fraction form
    871.94/1,203.33 = 499.04/x
  3. Step 3: Cross multiply
    871.94x = 1,203.33 × 499.04
  4. Step 4: Simplify right side
    871.94x = 600,509.80
  5. Step 5: Solve for x
    x = 600,509.80/871.94
  6. Step 6: Final answer
    x = 688.71

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