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Finding the Fourth Proportional to 527.94, 792.28 and 523.90

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Solution

The fourth proportional to 527.94, 792.28 and 523.90 is: 786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.94 : 792.28 = 523.90 : x
  2. Step 2: Convert to fraction form
    527.94/792.28 = 523.90/x
  3. Step 3: Cross multiply
    527.94x = 792.28 × 523.90
  4. Step 4: Simplify right side
    527.94x = 415,075.49
  5. Step 5: Solve for x
    x = 415,075.49/527.94
  6. Step 6: Final answer
    x = 786.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.