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Finding the Fourth Proportional to 798.42, 1,102.01 and 533.28

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Solution

The fourth proportional to 798.42, 1,102.01 and 533.28 is: 736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.42 : 1,102.01 = 533.28 : x
  2. Step 2: Convert to fraction form
    798.42/1,102.01 = 533.28/x
  3. Step 3: Cross multiply
    798.42x = 1,102.01 × 533.28
  4. Step 4: Simplify right side
    798.42x = 587,677.23
  5. Step 5: Solve for x
    x = 587,677.23/798.42
  6. Step 6: Final answer
    x = 736.05

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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.