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Finding the Fourth Proportional to 1,215.88, 1,823.82 and 446.38

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Solution

The fourth proportional to 1,215.88, 1,823.82 and 446.38 is: 669.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.88 : 1,823.82 = 446.38 : x
  2. Step 2: Convert to fraction form
    1,215.88/1,823.82 = 446.38/x
  3. Step 3: Cross multiply
    1,215.88x = 1,823.82 × 446.38
  4. Step 4: Simplify right side
    1,215.88x = 814,116.77
  5. Step 5: Solve for x
    x = 814,116.77/1,215.88
  6. Step 6: Final answer
    x = 669.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.