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Finding the Fourth Proportional to 933.81, 1,397.80 and 604.31

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Solution

The fourth proportional to 933.81, 1,397.80 and 604.31 is: 904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.81 : 1,397.80 = 604.31 : x
  2. Step 2: Convert to fraction form
    933.81/1,397.80 = 604.31/x
  3. Step 3: Cross multiply
    933.81x = 1,397.80 × 604.31
  4. Step 4: Simplify right side
    933.81x = 844,704.52
  5. Step 5: Solve for x
    x = 844,704.52/933.81
  6. Step 6: Final answer
    x = 904.58

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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.