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Finding the Fourth Proportional to 1,089.96, 1,635.02 and 542.12

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Solution

The fourth proportional to 1,089.96, 1,635.02 and 542.12 is: 813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.96 : 1,635.02 = 542.12 : x
  2. Step 2: Convert to fraction form
    1,089.96/1,635.02 = 542.12/x
  3. Step 3: Cross multiply
    1,089.96x = 1,635.02 × 542.12
  4. Step 4: Simplify right side
    1,089.96x = 886,377.04
  5. Step 5: Solve for x
    x = 886,377.04/1,089.96
  6. Step 6: Final answer
    x = 813.22

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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.