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Finding the Fourth Proportional to 1,050.27, 1,449.38 and 584.52

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Solution

The fourth proportional to 1,050.27, 1,449.38 and 584.52 is: 806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.27 : 1,449.38 = 584.52 : x
  2. Step 2: Convert to fraction form
    1,050.27/1,449.38 = 584.52/x
  3. Step 3: Cross multiply
    1,050.27x = 1,449.38 × 584.52
  4. Step 4: Simplify right side
    1,050.27x = 847,195.22
  5. Step 5: Solve for x
    x = 847,195.22/1,050.27
  6. Step 6: Final answer
    x = 806.64

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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.