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Finding the Fourth Proportional to 923.69, 1,385.73 and 429.73

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Solution

The fourth proportional to 923.69, 1,385.73 and 429.73 is: 644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.69 : 1,385.73 = 429.73 : x
  2. Step 2: Convert to fraction form
    923.69/1,385.73 = 429.73/x
  3. Step 3: Cross multiply
    923.69x = 1,385.73 × 429.73
  4. Step 4: Simplify right side
    923.69x = 595,491.39
  5. Step 5: Solve for x
    x = 595,491.39/923.69
  6. Step 6: Final answer
    x = 644.69

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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.