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Finding the Fourth Proportional to 1,408.71, 2,112.66 and 542.82

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Solution

The fourth proportional to 1,408.71, 2,112.66 and 542.82 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.71 : 2,112.66 = 542.82 : x
  2. Step 2: Convert to fraction form
    1,408.71/2,112.66 = 542.82/x
  3. Step 3: Cross multiply
    1,408.71x = 2,112.66 × 542.82
  4. Step 4: Simplify right side
    1,408.71x = 1,146,794.10
  5. Step 5: Solve for x
    x = 1,146,794.10/1,408.71
  6. Step 6: Final answer
    x = 814.07

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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.