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Finding the Fourth Proportional to 869.45, 1,199.87 and 520.34

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Solution

The fourth proportional to 869.45, 1,199.87 and 520.34 is: 718.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.45 : 1,199.87 = 520.34 : x
  2. Step 2: Convert to fraction form
    869.45/1,199.87 = 520.34/x
  3. Step 3: Cross multiply
    869.45x = 1,199.87 × 520.34
  4. Step 4: Simplify right side
    869.45x = 624,331.75
  5. Step 5: Solve for x
    x = 624,331.75/869.45
  6. Step 6: Final answer
    x = 718.08

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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.