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Finding the Fourth Proportional to 873.81, 1,311.24 and 784.17

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Solution

The fourth proportional to 873.81, 1,311.24 and 784.17 is: 1,176.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.81 : 1,311.24 = 784.17 : x
  2. Step 2: Convert to fraction form
    873.81/1,311.24 = 784.17/x
  3. Step 3: Cross multiply
    873.81x = 1,311.24 × 784.17
  4. Step 4: Simplify right side
    873.81x = 1,028,235.07
  5. Step 5: Solve for x
    x = 1,028,235.07/873.81
  6. Step 6: Final answer
    x = 1,176.73

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Why These Related Problems?

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