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Finding the Fourth Proportional to 1,092.80, 1,639.61 and 508.09

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Solution

The fourth proportional to 1,092.80, 1,639.61 and 508.09 is: 762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.80 : 1,639.61 = 508.09 : x
  2. Step 2: Convert to fraction form
    1,092.80/1,639.61 = 508.09/x
  3. Step 3: Cross multiply
    1,092.80x = 1,639.61 × 508.09
  4. Step 4: Simplify right side
    1,092.80x = 833,066.90
  5. Step 5: Solve for x
    x = 833,066.90/1,092.80
  6. Step 6: Final answer
    x = 762.32

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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.