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Finding the Fourth Proportional to 933.56, 1,398.42 and 922.04

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Solution

The fourth proportional to 933.56, 1,398.42 and 922.04 is: 1,381.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.56 : 1,398.42 = 922.04 : x
  2. Step 2: Convert to fraction form
    933.56/1,398.42 = 922.04/x
  3. Step 3: Cross multiply
    933.56x = 1,398.42 × 922.04
  4. Step 4: Simplify right side
    933.56x = 1,289,399.18
  5. Step 5: Solve for x
    x = 1,289,399.18/933.56
  6. Step 6: Final answer
    x = 1,381.16

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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.