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Finding the Fourth Proportional to 1,225.37, 1,833.44 and 729.95

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Solution

The fourth proportional to 1,225.37, 1,833.44 and 729.95 is: 1,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.37 : 1,833.44 = 729.95 : x
  2. Step 2: Convert to fraction form
    1,225.37/1,833.44 = 729.95/x
  3. Step 3: Cross multiply
    1,225.37x = 1,833.44 × 729.95
  4. Step 4: Simplify right side
    1,225.37x = 1,338,306.71
  5. Step 5: Solve for x
    x = 1,338,306.71/1,225.37
  6. Step 6: Final answer
    x = 1,092.17

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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.