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Finding the Fourth Proportional to 1,092.51, 1,635.93 and 604.89

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Solution

The fourth proportional to 1,092.51, 1,635.93 and 604.89 is: 905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.51 : 1,635.93 = 604.89 : x
  2. Step 2: Convert to fraction form
    1,092.51/1,635.93 = 604.89/x
  3. Step 3: Cross multiply
    1,092.51x = 1,635.93 × 604.89
  4. Step 4: Simplify right side
    1,092.51x = 989,557.70
  5. Step 5: Solve for x
    x = 989,557.70/1,092.51
  6. Step 6: Final answer
    x = 905.77

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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.