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Finding the Fourth Proportional to 798.58, 1,102.43 and 533.46

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Solution

The fourth proportional to 798.58, 1,102.43 and 533.46 is: 736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.58 : 1,102.43 = 533.46 : x
  2. Step 2: Convert to fraction form
    798.58/1,102.43 = 533.46/x
  3. Step 3: Cross multiply
    798.58x = 1,102.43 × 533.46
  4. Step 4: Simplify right side
    798.58x = 588,102.31
  5. Step 5: Solve for x
    x = 588,102.31/798.58
  6. Step 6: Final answer
    x = 736.44

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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.