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Finding the Fourth Proportional to 1,050.22, 1,449.29 and 578.06

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Solution

The fourth proportional to 1,050.22, 1,449.29 and 578.06 is: 797.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.22 : 1,449.29 = 578.06 : x
  2. Step 2: Convert to fraction form
    1,050.22/1,449.29 = 578.06/x
  3. Step 3: Cross multiply
    1,050.22x = 1,449.29 × 578.06
  4. Step 4: Simplify right side
    1,050.22x = 837,766.44
  5. Step 5: Solve for x
    x = 837,766.44/1,050.22
  6. Step 6: Final answer
    x = 797.71

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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.