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Finding the Fourth Proportional to 712.56, 985.86 and 581.34

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Solution

The fourth proportional to 712.56, 985.86 and 581.34 is: 804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.56 : 985.86 = 581.34 : x
  2. Step 2: Convert to fraction form
    712.56/985.86 = 581.34/x
  3. Step 3: Cross multiply
    712.56x = 985.86 × 581.34
  4. Step 4: Simplify right side
    712.56x = 573,119.85
  5. Step 5: Solve for x
    x = 573,119.85/712.56
  6. Step 6: Final answer
    x = 804.31

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1.5x scale

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.