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Finding the Fourth Proportional to 1,415.69, 2,123.66 and 441.80

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Solution

The fourth proportional to 1,415.69, 2,123.66 and 441.80 is: 662.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.69 : 2,123.66 = 441.80 : x
  2. Step 2: Convert to fraction form
    1,415.69/2,123.66 = 441.80/x
  3. Step 3: Cross multiply
    1,415.69x = 2,123.66 × 441.80
  4. Step 4: Simplify right side
    1,415.69x = 938,232.99
  5. Step 5: Solve for x
    x = 938,232.99/1,415.69
  6. Step 6: Final answer
    x = 662.74

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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.