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Finding the Fourth Proportional to 1,415.79, 2,123.69 and 441.90

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Solution

The fourth proportional to 1,415.79, 2,123.69 and 441.90 is: 662.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.79 : 2,123.69 = 441.90 : x
  2. Step 2: Convert to fraction form
    1,415.79/2,123.69 = 441.90/x
  3. Step 3: Cross multiply
    1,415.79x = 2,123.69 × 441.90
  4. Step 4: Simplify right side
    1,415.79x = 938,456.40
  5. Step 5: Solve for x
    x = 938,456.40/1,415.79
  6. Step 6: Final answer
    x = 662.85

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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.