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Finding the Fourth Proportional to 931.22, 1,396.11 and 588.50

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Solution

The fourth proportional to 931.22, 1,396.11 and 588.50 is: 882.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.22 : 1,396.11 = 588.50 : x
  2. Step 2: Convert to fraction form
    931.22/1,396.11 = 588.50/x
  3. Step 3: Cross multiply
    931.22x = 1,396.11 × 588.50
  4. Step 4: Simplify right side
    931.22x = 821,610.74
  5. Step 5: Solve for x
    x = 821,610.74/931.22
  6. Step 6: Final answer
    x = 882.29

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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.