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Finding the Fourth Proportional to 1,223.80, 1,825.73 and 1,006.72

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Solution

The fourth proportional to 1,223.80, 1,825.73 and 1,006.72 is: 1,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.80 : 1,825.73 = 1,006.72 : x
  2. Step 2: Convert to fraction form
    1,223.80/1,825.73 = 1,006.72/x
  3. Step 3: Cross multiply
    1,223.80x = 1,825.73 × 1,006.72
  4. Step 4: Simplify right side
    1,223.80x = 1,837,998.91
  5. Step 5: Solve for x
    x = 1,837,998.91/1,223.80
  6. Step 6: Final answer
    x = 1,501.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.