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Finding the Fourth Proportional to 713.39, 985.32 and 620.10

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Solution

The fourth proportional to 713.39, 985.32 and 620.10 is: 856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.39 : 985.32 = 620.10 : x
  2. Step 2: Convert to fraction form
    713.39/985.32 = 620.10/x
  3. Step 3: Cross multiply
    713.39x = 985.32 × 620.10
  4. Step 4: Simplify right side
    713.39x = 610,996.93
  5. Step 5: Solve for x
    x = 610,996.93/713.39
  6. Step 6: Final answer
    x = 856.48

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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.