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Finding the Fourth Proportional to 1,089.82, 1,634.19 and 534.16

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Solution

The fourth proportional to 1,089.82, 1,634.19 and 534.16 is: 800.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.82 : 1,634.19 = 534.16 : x
  2. Step 2: Convert to fraction form
    1,089.82/1,634.19 = 534.16/x
  3. Step 3: Cross multiply
    1,089.82x = 1,634.19 × 534.16
  4. Step 4: Simplify right side
    1,089.82x = 872,918.93
  5. Step 5: Solve for x
    x = 872,918.93/1,089.82
  6. Step 6: Final answer
    x = 800.98

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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.