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Finding the Fourth Proportional to 933.57, 1,397.51 and 622.94

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Solution

The fourth proportional to 933.57, 1,397.51 and 622.94 is: 932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.57 : 1,397.51 = 622.94 : x
  2. Step 2: Convert to fraction form
    933.57/1,397.51 = 622.94/x
  3. Step 3: Cross multiply
    933.57x = 1,397.51 × 622.94
  4. Step 4: Simplify right side
    933.57x = 870,554.78
  5. Step 5: Solve for x
    x = 870,554.78/933.57
  6. Step 6: Final answer
    x = 932.50

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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.