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Finding the Fourth Proportional to 712.42, 982.47 and 684.34

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Solution

The fourth proportional to 712.42, 982.47 and 684.34 is: 943.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.42 : 982.47 = 684.34 : x
  2. Step 2: Convert to fraction form
    712.42/982.47 = 684.34/x
  3. Step 3: Cross multiply
    712.42x = 982.47 × 684.34
  4. Step 4: Simplify right side
    712.42x = 672,343.52
  5. Step 5: Solve for x
    x = 672,343.52/712.42
  6. Step 6: Final answer
    x = 943.75

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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.