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Finding the Fourth Proportional to 812.56, 1,120.98 and 517.76

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Solution

The fourth proportional to 812.56, 1,120.98 and 517.76 is: 714.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.56 : 1,120.98 = 517.76 : x
  2. Step 2: Convert to fraction form
    812.56/1,120.98 = 517.76/x
  3. Step 3: Cross multiply
    812.56x = 1,120.98 × 517.76
  4. Step 4: Simplify right side
    812.56x = 580,396.02
  5. Step 5: Solve for x
    x = 580,396.02/812.56
  6. Step 6: Final answer
    x = 714.28

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1.5x scale

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.