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Finding the Fourth Proportional to 1,207.06, 1,665.52 and 834.66

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Solution

The fourth proportional to 1,207.06, 1,665.52 and 834.66 is: 1,151.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.06 : 1,665.52 = 834.66 : x
  2. Step 2: Convert to fraction form
    1,207.06/1,665.52 = 834.66/x
  3. Step 3: Cross multiply
    1,207.06x = 1,665.52 × 834.66
  4. Step 4: Simplify right side
    1,207.06x = 1,390,142.92
  5. Step 5: Solve for x
    x = 1,390,142.92/1,207.06
  6. Step 6: Final answer
    x = 1,151.68

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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.