Home / 1,050.24-1,449.36-584.52

Finding the Fourth Proportional to 1,050.24, 1,449.36 and 584.52

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Solution

The fourth proportional to 1,050.24, 1,449.36 and 584.52 is: 806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.24 : 1,449.36 = 584.52 : x
  2. Step 2: Convert to fraction form
    1,050.24/1,449.36 = 584.52/x
  3. Step 3: Cross multiply
    1,050.24x = 1,449.36 × 584.52
  4. Step 4: Simplify right side
    1,050.24x = 847,179.91
  5. Step 5: Solve for x
    x = 847,179.91/1,050.24
  6. Step 6: Final answer
    x = 806.65

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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.