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Finding the Fourth Proportional to 1,215.63, 1,823.71 and 446.13

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Solution

The fourth proportional to 1,215.63, 1,823.71 and 446.13 is: 669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.63 : 1,823.71 = 446.13 : x
  2. Step 2: Convert to fraction form
    1,215.63/1,823.71 = 446.13/x
  3. Step 3: Cross multiply
    1,215.63x = 1,823.71 × 446.13
  4. Step 4: Simplify right side
    1,215.63x = 813,611.74
  5. Step 5: Solve for x
    x = 813,611.74/1,215.63
  6. Step 6: Final answer
    x = 669.29

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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.