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Finding the Fourth Proportional to 1,207.11, 1,665.15 and 786.87

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Solution

The fourth proportional to 1,207.11, 1,665.15 and 786.87 is: 1,085.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.11 : 1,665.15 = 786.87 : x
  2. Step 2: Convert to fraction form
    1,207.11/1,665.15 = 786.87/x
  3. Step 3: Cross multiply
    1,207.11x = 1,665.15 × 786.87
  4. Step 4: Simplify right side
    1,207.11x = 1,310,256.58
  5. Step 5: Solve for x
    x = 1,310,256.58/1,207.11
  6. Step 6: Final answer
    x = 1,085.45

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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.