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Finding the Fourth Proportional to 681.77, 941.29 and 524.12

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Solution

The fourth proportional to 681.77, 941.29 and 524.12 is: 723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.77 : 941.29 = 524.12 : x
  2. Step 2: Convert to fraction form
    681.77/941.29 = 524.12/x
  3. Step 3: Cross multiply
    681.77x = 941.29 × 524.12
  4. Step 4: Simplify right side
    681.77x = 493,342.90
  5. Step 5: Solve for x
    x = 493,342.90/681.77
  6. Step 6: Final answer
    x = 723.62

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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.