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Finding the Fourth Proportional to 1,412.52, 2,118.16 and 546.22

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Solution

The fourth proportional to 1,412.52, 2,118.16 and 546.22 is: 819.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.52 : 2,118.16 = 546.22 : x
  2. Step 2: Convert to fraction form
    1,412.52/2,118.16 = 546.22/x
  3. Step 3: Cross multiply
    1,412.52x = 2,118.16 × 546.22
  4. Step 4: Simplify right side
    1,412.52x = 1,156,981.36
  5. Step 5: Solve for x
    x = 1,156,981.36/1,412.52
  6. Step 6: Final answer
    x = 819.09

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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.