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Finding the Fourth Proportional to 798.80, 1,101.92 and 536.36

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Solution

The fourth proportional to 798.80, 1,101.92 and 536.36 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.80 : 1,101.92 = 536.36 : x
  2. Step 2: Convert to fraction form
    798.80/1,101.92 = 536.36/x
  3. Step 3: Cross multiply
    798.80x = 1,101.92 × 536.36
  4. Step 4: Simplify right side
    798.80x = 591,017.62
  5. Step 5: Solve for x
    x = 591,017.62/798.80
  6. Step 6: Final answer
    x = 739.89

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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.