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Finding the Fourth Proportional to 1,225.81, 1,838.94 and 360.19

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Solution

The fourth proportional to 1,225.81, 1,838.94 and 360.19 is: 540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.81 : 1,838.94 = 360.19 : x
  2. Step 2: Convert to fraction form
    1,225.81/1,838.94 = 360.19/x
  3. Step 3: Cross multiply
    1,225.81x = 1,838.94 × 360.19
  4. Step 4: Simplify right side
    1,225.81x = 662,367.80
  5. Step 5: Solve for x
    x = 662,367.80/1,225.81
  6. Step 6: Final answer
    x = 540.35

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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.