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Finding the Fourth Proportional to 873.76, 1,311.04 and 440.96

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Solution

The fourth proportional to 873.76, 1,311.04 and 440.96 is: 661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.76 : 1,311.04 = 440.96 : x
  2. Step 2: Convert to fraction form
    873.76/1,311.04 = 440.96/x
  3. Step 3: Cross multiply
    873.76x = 1,311.04 × 440.96
  4. Step 4: Simplify right side
    873.76x = 578,116.20
  5. Step 5: Solve for x
    x = 578,116.20/873.76
  6. Step 6: Final answer
    x = 661.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.