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Finding the Fourth Proportional to 797.47, 1,098.23 and 576.07

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Solution

The fourth proportional to 797.47, 1,098.23 and 576.07 is: 793.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.47 : 1,098.23 = 576.07 : x
  2. Step 2: Convert to fraction form
    797.47/1,098.23 = 576.07/x
  3. Step 3: Cross multiply
    797.47x = 1,098.23 × 576.07
  4. Step 4: Simplify right side
    797.47x = 632,651.73
  5. Step 5: Solve for x
    x = 632,651.73/797.47
  6. Step 6: Final answer
    x = 793.33

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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.