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Finding the Fourth Proportional to 1,210.82, 1,671.44 and 818.37

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Solution

The fourth proportional to 1,210.82, 1,671.44 and 818.37 is: 1,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.82 : 1,671.44 = 818.37 : x
  2. Step 2: Convert to fraction form
    1,210.82/1,671.44 = 818.37/x
  3. Step 3: Cross multiply
    1,210.82x = 1,671.44 × 818.37
  4. Step 4: Simplify right side
    1,210.82x = 1,367,852.26
  5. Step 5: Solve for x
    x = 1,367,852.26/1,210.82
  6. Step 6: Final answer
    x = 1,129.70

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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.