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Finding the Fourth Proportional to 1,408.70, 2,111.76 and 542.36

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Solution

The fourth proportional to 1,408.70, 2,111.76 and 542.36 is: 813.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.70 : 2,111.76 = 542.36 : x
  2. Step 2: Convert to fraction form
    1,408.70/2,111.76 = 542.36/x
  3. Step 3: Cross multiply
    1,408.70x = 2,111.76 × 542.36
  4. Step 4: Simplify right side
    1,408.70x = 1,145,334.15
  5. Step 5: Solve for x
    x = 1,145,334.15/1,408.70
  6. Step 6: Final answer
    x = 813.04

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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.