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Finding the Fourth Proportional to 921.15, 1,381.72 and 536.13

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Solution

The fourth proportional to 921.15, 1,381.72 and 536.13 is: 804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.15 : 1,381.72 = 536.13 : x
  2. Step 2: Convert to fraction form
    921.15/1,381.72 = 536.13/x
  3. Step 3: Cross multiply
    921.15x = 1,381.72 × 536.13
  4. Step 4: Simplify right side
    921.15x = 740,773.29
  5. Step 5: Solve for x
    x = 740,773.29/921.15
  6. Step 6: Final answer
    x = 804.19

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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.