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Finding the Fourth Proportional to 1,217.29, 1,680.33 and 775.57

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Solution

The fourth proportional to 1,217.29, 1,680.33 and 775.57 is: 1,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.29 : 1,680.33 = 775.57 : x
  2. Step 2: Convert to fraction form
    1,217.29/1,680.33 = 775.57/x
  3. Step 3: Cross multiply
    1,217.29x = 1,680.33 × 775.57
  4. Step 4: Simplify right side
    1,217.29x = 1,303,213.54
  5. Step 5: Solve for x
    x = 1,303,213.54/1,217.29
  6. Step 6: Final answer
    x = 1,070.59

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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.