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Finding the Fourth Proportional to 526.52, 793.67 and 496.67

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Solution

The fourth proportional to 526.52, 793.67 and 496.67 is: 748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.52 : 793.67 = 496.67 : x
  2. Step 2: Convert to fraction form
    526.52/793.67 = 496.67/x
  3. Step 3: Cross multiply
    526.52x = 793.67 × 496.67
  4. Step 4: Simplify right side
    526.52x = 394,192.08
  5. Step 5: Solve for x
    x = 394,192.08/526.52
  6. Step 6: Final answer
    x = 748.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.