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Finding the Fourth Proportional to 654.13, 983.25 and 604.92

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Solution

The fourth proportional to 654.13, 983.25 and 604.92 is: 909.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.13 : 983.25 = 604.92 : x
  2. Step 2: Convert to fraction form
    654.13/983.25 = 604.92/x
  3. Step 3: Cross multiply
    654.13x = 983.25 × 604.92
  4. Step 4: Simplify right side
    654.13x = 594,787.59
  5. Step 5: Solve for x
    x = 594,787.59/654.13
  6. Step 6: Final answer
    x = 909.28

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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.