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Finding the Fourth Proportional to 770.44, 1,062.92 and 471.52

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Solution

The fourth proportional to 770.44, 1,062.92 and 471.52 is: 650.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.44 : 1,062.92 = 471.52 : x
  2. Step 2: Convert to fraction form
    770.44/1,062.92 = 471.52/x
  3. Step 3: Cross multiply
    770.44x = 1,062.92 × 471.52
  4. Step 4: Simplify right side
    770.44x = 501,188.04
  5. Step 5: Solve for x
    x = 501,188.04/770.44
  6. Step 6: Final answer
    x = 650.52

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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.