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Finding the Fourth Proportional to 713.56, 985.04 and 451.93

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Solution

The fourth proportional to 713.56, 985.04 and 451.93 is: 623.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.56 : 985.04 = 451.93 : x
  2. Step 2: Convert to fraction form
    713.56/985.04 = 451.93/x
  3. Step 3: Cross multiply
    713.56x = 985.04 × 451.93
  4. Step 4: Simplify right side
    713.56x = 445,166.10
  5. Step 5: Solve for x
    x = 445,166.10/713.56
  6. Step 6: Final answer
    x = 623.87

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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.