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Finding the Fourth Proportional to 941.23, 1,412.76 and 681.53

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Solution

The fourth proportional to 941.23, 1,412.76 and 681.53 is: 1,022.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.23 : 1,412.76 = 681.53 : x
  2. Step 2: Convert to fraction form
    941.23/1,412.76 = 681.53/x
  3. Step 3: Cross multiply
    941.23x = 1,412.76 × 681.53
  4. Step 4: Simplify right side
    941.23x = 962,838.32
  5. Step 5: Solve for x
    x = 962,838.32/941.23
  6. Step 6: Final answer
    x = 1,022.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.