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Finding the Fourth Proportional to 837.83, 1,154.14 and 713.09

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Solution

The fourth proportional to 837.83, 1,154.14 and 713.09 is: 982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.83 : 1,154.14 = 713.09 : x
  2. Step 2: Convert to fraction form
    837.83/1,154.14 = 713.09/x
  3. Step 3: Cross multiply
    837.83x = 1,154.14 × 713.09
  4. Step 4: Simplify right side
    837.83x = 823,005.69
  5. Step 5: Solve for x
    x = 823,005.69/837.83
  6. Step 6: Final answer
    x = 982.31

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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.