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Finding the Fourth Proportional to 681.83, 941.45 and 524.21

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Solution

The fourth proportional to 681.83, 941.45 and 524.21 is: 723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.83 : 941.45 = 524.21 : x
  2. Step 2: Convert to fraction form
    681.83/941.45 = 524.21/x
  3. Step 3: Cross multiply
    681.83x = 941.45 × 524.21
  4. Step 4: Simplify right side
    681.83x = 493,521.17
  5. Step 5: Solve for x
    x = 493,521.17/681.83
  6. Step 6: Final answer
    x = 723.82

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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.