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Finding the Fourth Proportional to 681.67, 941.14 and 524.01

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Solution

The fourth proportional to 681.67, 941.14 and 524.01 is: 723.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.67 : 941.14 = 524.01 : x
  2. Step 2: Convert to fraction form
    681.67/941.14 = 524.01/x
  3. Step 3: Cross multiply
    681.67x = 941.14 × 524.01
  4. Step 4: Simplify right side
    681.67x = 493,165.81
  5. Step 5: Solve for x
    x = 493,165.81/681.67
  6. Step 6: Final answer
    x = 723.47

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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.