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Finding the Fourth Proportional to 527.75, 790.63 and 487.97

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Solution

The fourth proportional to 527.75, 790.63 and 487.97 is: 731.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.75 : 790.63 = 487.97 : x
  2. Step 2: Convert to fraction form
    527.75/790.63 = 487.97/x
  3. Step 3: Cross multiply
    527.75x = 790.63 × 487.97
  4. Step 4: Simplify right side
    527.75x = 385,803.72
  5. Step 5: Solve for x
    x = 385,803.72/527.75
  6. Step 6: Final answer
    x = 731.03

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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.