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Finding the Fourth Proportional to 1,089.85, 1,634.24 and 542.34

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Solution

The fourth proportional to 1,089.85, 1,634.24 and 542.34 is: 813.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.85 : 1,634.24 = 542.34 : x
  2. Step 2: Convert to fraction form
    1,089.85/1,634.24 = 542.34/x
  3. Step 3: Cross multiply
    1,089.85x = 1,634.24 × 542.34
  4. Step 4: Simplify right side
    1,089.85x = 886,311.01
  5. Step 5: Solve for x
    x = 886,311.01/1,089.85
  6. Step 6: Final answer
    x = 813.24

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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.