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Finding the Fourth Proportional to 1,807.77, 2,711.87 and 509.24

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Solution

The fourth proportional to 1,807.77, 2,711.87 and 509.24 is: 763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.77 : 2,711.87 = 509.24 : x
  2. Step 2: Convert to fraction form
    1,807.77/2,711.87 = 509.24/x
  3. Step 3: Cross multiply
    1,807.77x = 2,711.87 × 509.24
  4. Step 4: Simplify right side
    1,807.77x = 1,380,992.68
  5. Step 5: Solve for x
    x = 1,380,992.68/1,807.77
  6. Step 6: Final answer
    x = 763.92

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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.