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Finding the Fourth Proportional to 1,141.64, 1,711.20 and 492.20

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Solution

The fourth proportional to 1,141.64, 1,711.20 and 492.20 is: 737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.64 : 1,711.20 = 492.20 : x
  2. Step 2: Convert to fraction form
    1,141.64/1,711.20 = 492.20/x
  3. Step 3: Cross multiply
    1,141.64x = 1,711.20 × 492.20
  4. Step 4: Simplify right side
    1,141.64x = 842,252.64
  5. Step 5: Solve for x
    x = 842,252.64/1,141.64
  6. Step 6: Final answer
    x = 737.76

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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.