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Finding the Fourth Proportional to 656.44, 982.69 and 502.95

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Solution

The fourth proportional to 656.44, 982.69 and 502.95 is: 752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.44 : 982.69 = 502.95 : x
  2. Step 2: Convert to fraction form
    656.44/982.69 = 502.95/x
  3. Step 3: Cross multiply
    656.44x = 982.69 × 502.95
  4. Step 4: Simplify right side
    656.44x = 494,243.94
  5. Step 5: Solve for x
    x = 494,243.94/656.44
  6. Step 6: Final answer
    x = 752.92

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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.