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Finding the Fourth Proportional to 873.72, 1,311.38 and 411.76

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Solution

The fourth proportional to 873.72, 1,311.38 and 411.76 is: 618.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.72 : 1,311.38 = 411.76 : x
  2. Step 2: Convert to fraction form
    873.72/1,311.38 = 411.76/x
  3. Step 3: Cross multiply
    873.72x = 1,311.38 × 411.76
  4. Step 4: Simplify right side
    873.72x = 539,973.83
  5. Step 5: Solve for x
    x = 539,973.83/873.72
  6. Step 6: Final answer
    x = 618.02

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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.