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Finding the Fourth Proportional to 796, 1,098.78 and 520

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Solution

The fourth proportional to 796, 1,098.78 and 520 is: 717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    796 : 1,098.78 = 520 : x
  2. Step 2: Convert to fraction form
    796/1,098.78 = 520/x
  3. Step 3: Cross multiply
    796x = 1,098.78 × 520
  4. Step 4: Simplify right side
    796x = 571,365.60
  5. Step 5: Solve for x
    x = 571,365.60/796
  6. Step 6: Final answer
    x = 717.80

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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.