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Finding the Fourth Proportional to 923.40, 1,384.49 and 436.79

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Solution

The fourth proportional to 923.40, 1,384.49 and 436.79 is: 654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.40 : 1,384.49 = 436.79 : x
  2. Step 2: Convert to fraction form
    923.40/1,384.49 = 436.79/x
  3. Step 3: Cross multiply
    923.40x = 1,384.49 × 436.79
  4. Step 4: Simplify right side
    923.40x = 604,735.94
  5. Step 5: Solve for x
    x = 604,735.94/923.40
  6. Step 6: Final answer
    x = 654.90

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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.