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Finding the Fourth Proportional to 921.06, 1,380.33 and 536.58

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Solution

The fourth proportional to 921.06, 1,380.33 and 536.58 is: 804.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.06 : 1,380.33 = 536.58 : x
  2. Step 2: Convert to fraction form
    921.06/1,380.33 = 536.58/x
  3. Step 3: Cross multiply
    921.06x = 1,380.33 × 536.58
  4. Step 4: Simplify right side
    921.06x = 740,657.47
  5. Step 5: Solve for x
    x = 740,657.47/921.06
  6. Step 6: Final answer
    x = 804.14

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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.