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Finding the Fourth Proportional to 1,807.76, 2,711.62 and 439.76

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Solution

The fourth proportional to 1,807.76, 2,711.62 and 439.76 is: 659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.76 : 2,711.62 = 439.76 : x
  2. Step 2: Convert to fraction form
    1,807.76/2,711.62 = 439.76/x
  3. Step 3: Cross multiply
    1,807.76x = 2,711.62 × 439.76
  4. Step 4: Simplify right side
    1,807.76x = 1,192,462.01
  5. Step 5: Solve for x
    x = 1,192,462.01/1,807.76
  6. Step 6: Final answer
    x = 659.64

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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.