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Finding the Fourth Proportional to 913.27, 1,370.01 and 685.06

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Solution

The fourth proportional to 913.27, 1,370.01 and 685.06 is: 1,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.27 : 1,370.01 = 685.06 : x
  2. Step 2: Convert to fraction form
    913.27/1,370.01 = 685.06/x
  3. Step 3: Cross multiply
    913.27x = 1,370.01 × 685.06
  4. Step 4: Simplify right side
    913.27x = 938,539.05
  5. Step 5: Solve for x
    x = 938,539.05/913.27
  6. Step 6: Final answer
    x = 1,027.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.