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Finding the Fourth Proportional to 1,412.67, 2,118.39 and 546.39

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Solution

The fourth proportional to 1,412.67, 2,118.39 and 546.39 is: 819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.67 : 2,118.39 = 546.39 : x
  2. Step 2: Convert to fraction form
    1,412.67/2,118.39 = 546.39/x
  3. Step 3: Cross multiply
    1,412.67x = 2,118.39 × 546.39
  4. Step 4: Simplify right side
    1,412.67x = 1,157,467.11
  5. Step 5: Solve for x
    x = 1,157,467.11/1,412.67
  6. Step 6: Final answer
    x = 819.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.