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Finding the Fourth Proportional to 533.94, 795.77 and 533.13

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Solution

The fourth proportional to 533.94, 795.77 and 533.13 is: 794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    533.94 : 795.77 = 533.13 : x
  2. Step 2: Convert to fraction form
    533.94/795.77 = 533.13/x
  3. Step 3: Cross multiply
    533.94x = 795.77 × 533.13
  4. Step 4: Simplify right side
    533.94x = 424,246.19
  5. Step 5: Solve for x
    x = 424,246.19/533.94
  6. Step 6: Final answer
    x = 794.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.