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Finding the Fourth Proportional to 714.02, 983.76 and 681.08

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Solution

The fourth proportional to 714.02, 983.76 and 681.08 is: 938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.02 : 983.76 = 681.08 : x
  2. Step 2: Convert to fraction form
    714.02/983.76 = 681.08/x
  3. Step 3: Cross multiply
    714.02x = 983.76 × 681.08
  4. Step 4: Simplify right side
    714.02x = 670,019.26
  5. Step 5: Solve for x
    x = 670,019.26/714.02
  6. Step 6: Final answer
    x = 938.38

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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.