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Finding the Fourth Proportional to 1,233.25, 1,701.89 and 681.25

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Solution

The fourth proportional to 1,233.25, 1,701.89 and 681.25 is: 940.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.25 : 1,701.89 = 681.25 : x
  2. Step 2: Convert to fraction form
    1,233.25/1,701.89 = 681.25/x
  3. Step 3: Cross multiply
    1,233.25x = 1,701.89 × 681.25
  4. Step 4: Simplify right side
    1,233.25x = 1,159,409.16
  5. Step 5: Solve for x
    x = 1,159,409.16/1,233.25
  6. Step 6: Final answer
    x = 940.13

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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.