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Finding the Fourth Proportional to 855.30, 1,180.62 and 593.58

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Solution

The fourth proportional to 855.30, 1,180.62 and 593.58 is: 819.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.30 : 1,180.62 = 593.58 : x
  2. Step 2: Convert to fraction form
    855.30/1,180.62 = 593.58/x
  3. Step 3: Cross multiply
    855.30x = 1,180.62 × 593.58
  4. Step 4: Simplify right side
    855.30x = 700,792.42
  5. Step 5: Solve for x
    x = 700,792.42/855.30
  6. Step 6: Final answer
    x = 819.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.