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Finding the Fourth Proportional to 682.14, 941.56 and 507.72

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Solution

The fourth proportional to 682.14, 941.56 and 507.72 is: 700.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.14 : 941.56 = 507.72 : x
  2. Step 2: Convert to fraction form
    682.14/941.56 = 507.72/x
  3. Step 3: Cross multiply
    682.14x = 941.56 × 507.72
  4. Step 4: Simplify right side
    682.14x = 478,048.84
  5. Step 5: Solve for x
    x = 478,048.84/682.14
  6. Step 6: Final answer
    x = 700.81

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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.