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Finding the Fourth Proportional to 1,050.72, 1,575.96 and 465.73

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Solution

The fourth proportional to 1,050.72, 1,575.96 and 465.73 is: 698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.72 : 1,575.96 = 465.73 : x
  2. Step 2: Convert to fraction form
    1,050.72/1,575.96 = 465.73/x
  3. Step 3: Cross multiply
    1,050.72x = 1,575.96 × 465.73
  4. Step 4: Simplify right side
    1,050.72x = 733,969.66
  5. Step 5: Solve for x
    x = 733,969.66/1,050.72
  6. Step 6: Final answer
    x = 698.54

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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.