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Finding the Fourth Proportional to 1,231.59, 1,699.46 and 707.79

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Solution

The fourth proportional to 1,231.59, 1,699.46 and 707.79 is: 976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.59 : 1,699.46 = 707.79 : x
  2. Step 2: Convert to fraction form
    1,231.59/1,699.46 = 707.79/x
  3. Step 3: Cross multiply
    1,231.59x = 1,699.46 × 707.79
  4. Step 4: Simplify right side
    1,231.59x = 1,202,857.25
  5. Step 5: Solve for x
    x = 1,202,857.25/1,231.59
  6. Step 6: Final answer
    x = 976.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.