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Finding the Fourth Proportional to 1,211.85, 1,673.15 and 931.57

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Solution

The fourth proportional to 1,211.85, 1,673.15 and 931.57 is: 1,286.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.85 : 1,673.15 = 931.57 : x
  2. Step 2: Convert to fraction form
    1,211.85/1,673.15 = 931.57/x
  3. Step 3: Cross multiply
    1,211.85x = 1,673.15 × 931.57
  4. Step 4: Simplify right side
    1,211.85x = 1,558,647.50
  5. Step 5: Solve for x
    x = 1,558,647.50/1,211.85
  6. Step 6: Final answer
    x = 1,286.17

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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.