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Finding the Fourth Proportional to 869.76, 1,200.32 and 520.64

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Solution

The fourth proportional to 869.76, 1,200.32 and 520.64 is: 718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.76 : 1,200.32 = 520.64 : x
  2. Step 2: Convert to fraction form
    869.76/1,200.32 = 520.64/x
  3. Step 3: Cross multiply
    869.76x = 1,200.32 × 520.64
  4. Step 4: Simplify right side
    869.76x = 624,934.60
  5. Step 5: Solve for x
    x = 624,934.60/869.76
  6. Step 6: Final answer
    x = 718.51

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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.