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Finding the Fourth Proportional to 1,092.14, 1,637.90 and 536.58

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Solution

The fourth proportional to 1,092.14, 1,637.90 and 536.58 is: 804.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.14 : 1,637.90 = 536.58 : x
  2. Step 2: Convert to fraction form
    1,092.14/1,637.90 = 536.58/x
  3. Step 3: Cross multiply
    1,092.14x = 1,637.90 × 536.58
  4. Step 4: Simplify right side
    1,092.14x = 878,864.38
  5. Step 5: Solve for x
    x = 878,864.38/1,092.14
  6. Step 6: Final answer
    x = 804.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.