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Finding the Fourth Proportional to 713.68, 985.17 and 451.65

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Solution

The fourth proportional to 713.68, 985.17 and 451.65 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.68 : 985.17 = 451.65 : x
  2. Step 2: Convert to fraction form
    713.68/985.17 = 451.65/x
  3. Step 3: Cross multiply
    713.68x = 985.17 × 451.65
  4. Step 4: Simplify right side
    713.68x = 444,952.03
  5. Step 5: Solve for x
    x = 444,952.03/713.68
  6. Step 6: Final answer
    x = 623.46

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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.