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Finding the Fourth Proportional to 1,211.56, 1,671.62 and 687.40

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Solution

The fourth proportional to 1,211.56, 1,671.62 and 687.40 is: 948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.56 : 1,671.62 = 687.40 : x
  2. Step 2: Convert to fraction form
    1,211.56/1,671.62 = 687.40/x
  3. Step 3: Cross multiply
    1,211.56x = 1,671.62 × 687.40
  4. Step 4: Simplify right side
    1,211.56x = 1,149,071.59
  5. Step 5: Solve for x
    x = 1,149,071.59/1,211.56
  6. Step 6: Final answer
    x = 948.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.