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Finding the Fourth Proportional to 1,023.69, 1,535.00 and 475.41

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Solution

The fourth proportional to 1,023.69, 1,535.00 and 475.41 is: 712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.69 : 1,535.00 = 475.41 : x
  2. Step 2: Convert to fraction form
    1,023.69/1,535.00 = 475.41/x
  3. Step 3: Cross multiply
    1,023.69x = 1,535.00 × 475.41
  4. Step 4: Simplify right side
    1,023.69x = 729,751.97
  5. Step 5: Solve for x
    x = 729,751.97/1,023.69
  6. Step 6: Final answer
    x = 712.86

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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.