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Finding the Fourth Proportional to 922.14, 1,383.36 and 429.04

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Solution

The fourth proportional to 922.14, 1,383.36 and 429.04 is: 643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.14 : 1,383.36 = 429.04 : x
  2. Step 2: Convert to fraction form
    922.14/1,383.36 = 429.04/x
  3. Step 3: Cross multiply
    922.14x = 1,383.36 × 429.04
  4. Step 4: Simplify right side
    922.14x = 593,516.77
  5. Step 5: Solve for x
    x = 593,516.77/922.14
  6. Step 6: Final answer
    x = 643.63

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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.