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Finding the Fourth Proportional to 526.36, 790.98 and 523.52

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Solution

The fourth proportional to 526.36, 790.98 and 523.52 is: 786.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.36 : 790.98 = 523.52 : x
  2. Step 2: Convert to fraction form
    526.36/790.98 = 523.52/x
  3. Step 3: Cross multiply
    526.36x = 790.98 × 523.52
  4. Step 4: Simplify right side
    526.36x = 414,093.85
  5. Step 5: Solve for x
    x = 414,093.85/526.36
  6. Step 6: Final answer
    x = 786.71

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