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Finding the Fourth Proportional to 1,211.14, 1,671.15 and 687.07

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Solution

The fourth proportional to 1,211.14, 1,671.15 and 687.07 is: 948.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.14 : 1,671.15 = 687.07 : x
  2. Step 2: Convert to fraction form
    1,211.14/1,671.15 = 687.07/x
  3. Step 3: Cross multiply
    1,211.14x = 1,671.15 × 687.07
  4. Step 4: Simplify right side
    1,211.14x = 1,148,197.03
  5. Step 5: Solve for x
    x = 1,148,197.03/1,211.14
  6. Step 6: Final answer
    x = 948.03

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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.