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Finding the Fourth Proportional to 1,050.99, 1,450.29 and 578.82

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Solution

The fourth proportional to 1,050.99, 1,450.29 and 578.82 is: 798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.99 : 1,450.29 = 578.82 : x
  2. Step 2: Convert to fraction form
    1,050.99/1,450.29 = 578.82/x
  3. Step 3: Cross multiply
    1,050.99x = 1,450.29 × 578.82
  4. Step 4: Simplify right side
    1,050.99x = 839,456.86
  5. Step 5: Solve for x
    x = 839,456.86/1,050.99
  6. Step 6: Final answer
    x = 798.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.