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Finding the Fourth Proportional to 1,408.34, 2,112.48 and 542.63

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Solution

The fourth proportional to 1,408.34, 2,112.48 and 542.63 is: 813.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.34 : 2,112.48 = 542.63 : x
  2. Step 2: Convert to fraction form
    1,408.34/2,112.48 = 542.63/x
  3. Step 3: Cross multiply
    1,408.34x = 2,112.48 × 542.63
  4. Step 4: Simplify right side
    1,408.34x = 1,146,284.46
  5. Step 5: Solve for x
    x = 1,146,284.46/1,408.34
  6. Step 6: Final answer
    x = 813.93

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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.