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Finding the Fourth Proportional to 1,090.91, 1,634.99 and 542.10

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Solution

The fourth proportional to 1,090.91, 1,634.99 and 542.10 is: 812.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.91 : 1,634.99 = 542.10 : x
  2. Step 2: Convert to fraction form
    1,090.91/1,634.99 = 542.10/x
  3. Step 3: Cross multiply
    1,090.91x = 1,634.99 × 542.10
  4. Step 4: Simplify right side
    1,090.91x = 886,325.37
  5. Step 5: Solve for x
    x = 886,325.37/1,090.91
  6. Step 6: Final answer
    x = 812.47

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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.