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Finding the Fourth Proportional to 709.14, 1,055.34 and 683.22

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Solution

The fourth proportional to 709.14, 1,055.34 and 683.22 is: 1,016.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.14 : 1,055.34 = 683.22 : x
  2. Step 2: Convert to fraction form
    709.14/1,055.34 = 683.22/x
  3. Step 3: Cross multiply
    709.14x = 1,055.34 × 683.22
  4. Step 4: Simplify right side
    709.14x = 721,029.39
  5. Step 5: Solve for x
    x = 721,029.39/709.14
  6. Step 6: Final answer
    x = 1,016.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.