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Finding the Fourth Proportional to 568.54, 784.92 and 535.74

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Solution

The fourth proportional to 568.54, 784.92 and 535.74 is: 739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.54 : 784.92 = 535.74 : x
  2. Step 2: Convert to fraction form
    568.54/784.92 = 535.74/x
  3. Step 3: Cross multiply
    568.54x = 784.92 × 535.74
  4. Step 4: Simplify right side
    568.54x = 420,513.04
  5. Step 5: Solve for x
    x = 420,513.04/568.54
  6. Step 6: Final answer
    x = 739.64

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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.