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Finding the Fourth Proportional to 739.88, 1,019.97 and 582.24

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Solution

The fourth proportional to 739.88, 1,019.97 and 582.24 is: 802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.88 : 1,019.97 = 582.24 : x
  2. Step 2: Convert to fraction form
    739.88/1,019.97 = 582.24/x
  3. Step 3: Cross multiply
    739.88x = 1,019.97 × 582.24
  4. Step 4: Simplify right side
    739.88x = 593,862.23
  5. Step 5: Solve for x
    x = 593,862.23/739.88
  6. Step 6: Final answer
    x = 802.65

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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.