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Finding the Fourth Proportional to 713.41, 1,065.01 and 681.89

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Solution

The fourth proportional to 713.41, 1,065.01 and 681.89 is: 1,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.41 : 1,065.01 = 681.89 : x
  2. Step 2: Convert to fraction form
    713.41/1,065.01 = 681.89/x
  3. Step 3: Cross multiply
    713.41x = 1,065.01 × 681.89
  4. Step 4: Simplify right side
    713.41x = 726,219.67
  5. Step 5: Solve for x
    x = 726,219.67/713.41
  6. Step 6: Final answer
    x = 1,017.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.