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Finding the Fourth Proportional to 1,231.08, 1,698.86 and 671.57

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Solution

The fourth proportional to 1,231.08, 1,698.86 and 671.57 is: 926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.08 : 1,698.86 = 671.57 : x
  2. Step 2: Convert to fraction form
    1,231.08/1,698.86 = 671.57/x
  3. Step 3: Cross multiply
    1,231.08x = 1,698.86 × 671.57
  4. Step 4: Simplify right side
    1,231.08x = 1,140,903.41
  5. Step 5: Solve for x
    x = 1,140,903.41/1,231.08
  6. Step 6: Final answer
    x = 926.75

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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.