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Finding the Fourth Proportional to 1,204.71, 1,807.37 and 555.90

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Solution

The fourth proportional to 1,204.71, 1,807.37 and 555.90 is: 833.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.71 : 1,807.37 = 555.90 : x
  2. Step 2: Convert to fraction form
    1,204.71/1,807.37 = 555.90/x
  3. Step 3: Cross multiply
    1,204.71x = 1,807.37 × 555.90
  4. Step 4: Simplify right side
    1,204.71x = 1,004,716.98
  5. Step 5: Solve for x
    x = 1,004,716.98/1,204.71
  6. Step 6: Final answer
    x = 833.99

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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.